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Finding the Fourth Proportional to 361.62, 542.40 and 145.21

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Solution

The fourth proportional to 361.62, 542.40 and 145.21 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 542.40 = 145.21 : x
  2. Step 2: Convert to fraction form
    361.62/542.40 = 145.21/x
  3. Step 3: Cross multiply
    361.62x = 542.40 × 145.21
  4. Step 4: Simplify right side
    361.62x = 78,761.90
  5. Step 5: Solve for x
    x = 78,761.90/361.62
  6. Step 6: Final answer
    x = 217.80

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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.