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Finding the Fourth Proportional to 542.01, 748.20 and 365.13

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Solution

The fourth proportional to 542.01, 748.20 and 365.13 is: 504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.01 : 748.20 = 365.13 : x
  2. Step 2: Convert to fraction form
    542.01/748.20 = 365.13/x
  3. Step 3: Cross multiply
    542.01x = 748.20 × 365.13
  4. Step 4: Simplify right side
    542.01x = 273,190.27
  5. Step 5: Solve for x
    x = 273,190.27/542.01
  6. Step 6: Final answer
    x = 504.03

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Double scale
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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.