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Finding the Fourth Proportional to 361.56, 542.46 and 224.70

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Solution

The fourth proportional to 361.56, 542.46 and 224.70 is: 337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 542.46 = 224.70 : x
  2. Step 2: Convert to fraction form
    361.56/542.46 = 224.70/x
  3. Step 3: Cross multiply
    361.56x = 542.46 × 224.70
  4. Step 4: Simplify right side
    361.56x = 121,890.76
  5. Step 5: Solve for x
    x = 121,890.76/361.56
  6. Step 6: Final answer
    x = 337.12

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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.