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Finding the Fourth Proportional to 415.20, 622.24 and 232.72

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Solution

The fourth proportional to 415.20, 622.24 and 232.72 is: 348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 622.24 = 232.72 : x
  2. Step 2: Convert to fraction form
    415.20/622.24 = 232.72/x
  3. Step 3: Cross multiply
    415.20x = 622.24 × 232.72
  4. Step 4: Simplify right side
    415.20x = 144,807.69
  5. Step 5: Solve for x
    x = 144,807.69/415.20
  6. Step 6: Final answer
    x = 348.77

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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.