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Finding the Fourth Proportional to 363.28, 542.58 and 361.04

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Solution

The fourth proportional to 363.28, 542.58 and 361.04 is: 539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.28 : 542.58 = 361.04 : x
  2. Step 2: Convert to fraction form
    363.28/542.58 = 361.04/x
  3. Step 3: Cross multiply
    363.28x = 542.58 × 361.04
  4. Step 4: Simplify right side
    363.28x = 195,893.08
  5. Step 5: Solve for x
    x = 195,893.08/363.28
  6. Step 6: Final answer
    x = 539.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.