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Finding the Fourth Proportional to 361.43, 542.41 and 224.57

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Solution

The fourth proportional to 361.43, 542.41 and 224.57 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.43 : 542.41 = 224.57 : x
  2. Step 2: Convert to fraction form
    361.43/542.41 = 224.57/x
  3. Step 3: Cross multiply
    361.43x = 542.41 × 224.57
  4. Step 4: Simplify right side
    361.43x = 121,809.81
  5. Step 5: Solve for x
    x = 121,809.81/361.43
  6. Step 6: Final answer
    x = 337.02

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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.