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Finding the Fourth Proportional to 415.58, 622.05 and 232.42

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Solution

The fourth proportional to 415.58, 622.05 and 232.42 is: 347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.58 : 622.05 = 232.42 : x
  2. Step 2: Convert to fraction form
    415.58/622.05 = 232.42/x
  3. Step 3: Cross multiply
    415.58x = 622.05 × 232.42
  4. Step 4: Simplify right side
    415.58x = 144,573.75
  5. Step 5: Solve for x
    x = 144,573.75/415.58
  6. Step 6: Final answer
    x = 347.88

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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.