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Finding the Fourth Proportional to 361.59, 542.42 and 145.17

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Solution

The fourth proportional to 361.59, 542.42 and 145.17 is: 217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.59 : 542.42 = 145.17 : x
  2. Step 2: Convert to fraction form
    361.59/542.42 = 145.17/x
  3. Step 3: Cross multiply
    361.59x = 542.42 × 145.17
  4. Step 4: Simplify right side
    361.59x = 78,743.67
  5. Step 5: Solve for x
    x = 78,743.67/361.59
  6. Step 6: Final answer
    x = 217.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.