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Finding the Fourth Proportional to 542.16, 748.98 and 368.28

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Solution

The fourth proportional to 542.16, 748.98 and 368.28 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 748.98 = 368.28 : x
  2. Step 2: Convert to fraction form
    542.16/748.98 = 368.28/x
  3. Step 3: Cross multiply
    542.16x = 748.98 × 368.28
  4. Step 4: Simplify right side
    542.16x = 275,834.35
  5. Step 5: Solve for x
    x = 275,834.35/542.16
  6. Step 6: Final answer
    x = 508.77

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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.