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Finding the Fourth Proportional to 540.78, 746.28 and 319.84

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Solution

The fourth proportional to 540.78, 746.28 and 319.84 is: 441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 746.28 = 319.84 : x
  2. Step 2: Convert to fraction form
    540.78/746.28 = 319.84/x
  3. Step 3: Cross multiply
    540.78x = 746.28 × 319.84
  4. Step 4: Simplify right side
    540.78x = 238,690.20
  5. Step 5: Solve for x
    x = 238,690.20/540.78
  6. Step 6: Final answer
    x = 441.38

Related Problems

Find fourth proportional to 270.39, 373.14 and 159.92
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Double scale
Find fourth proportional to 541.78, 747.66 and 320.84
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.