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Finding the Fourth Proportional to 542.74, 748.52 and 368.04

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Solution

The fourth proportional to 542.74, 748.52 and 368.04 is: 507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.74 : 748.52 = 368.04 : x
  2. Step 2: Convert to fraction form
    542.74/748.52 = 368.04/x
  3. Step 3: Cross multiply
    542.74x = 748.52 × 368.04
  4. Step 4: Simplify right side
    542.74x = 275,485.30
  5. Step 5: Solve for x
    x = 275,485.30/542.74
  6. Step 6: Final answer
    x = 507.58

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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.