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Finding the Fourth Proportional to 540.48, 746.28 and 344.28

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Solution

The fourth proportional to 540.48, 746.28 and 344.28 is: 475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 746.28 = 344.28 : x
  2. Step 2: Convert to fraction form
    540.48/746.28 = 344.28/x
  3. Step 3: Cross multiply
    540.48x = 746.28 × 344.28
  4. Step 4: Simplify right side
    540.48x = 256,929.28
  5. Step 5: Solve for x
    x = 256,929.28/540.48
  6. Step 6: Final answer
    x = 475.37

Related Problems

Find fourth proportional to 270.24, 373.14 and 172.14
Half scale
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Double scale
Find fourth proportional to 541.48, 747.66 and 345.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.