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Finding the Fourth Proportional to 415.18, 619.96 and 331.76

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Solution

The fourth proportional to 415.18, 619.96 and 331.76 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.18 : 619.96 = 331.76 : x
  2. Step 2: Convert to fraction form
    415.18/619.96 = 331.76/x
  3. Step 3: Cross multiply
    415.18x = 619.96 × 331.76
  4. Step 4: Simplify right side
    415.18x = 205,677.93
  5. Step 5: Solve for x
    x = 205,677.93/415.18
  6. Step 6: Final answer
    x = 495.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.