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Finding the Fourth Proportional to 540.75, 746.34 and 353.90

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Solution

The fourth proportional to 540.75, 746.34 and 353.90 is: 488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 746.34 = 353.90 : x
  2. Step 2: Convert to fraction form
    540.75/746.34 = 353.90/x
  3. Step 3: Cross multiply
    540.75x = 746.34 × 353.90
  4. Step 4: Simplify right side
    540.75x = 264,129.73
  5. Step 5: Solve for x
    x = 264,129.73/540.75
  6. Step 6: Final answer
    x = 488.45

Related Problems

Find fourth proportional to 270.38, 373.17 and 176.95
Half scale
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Double scale
Find fourth proportional to 541.75, 747.72 and 354.90
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.