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Finding the Fourth Proportional to 415.28, 619.40 and 349.47

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Solution

The fourth proportional to 415.28, 619.40 and 349.47 is: 521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 619.40 = 349.47 : x
  2. Step 2: Convert to fraction form
    415.28/619.40 = 349.47/x
  3. Step 3: Cross multiply
    415.28x = 619.40 × 349.47
  4. Step 4: Simplify right side
    415.28x = 216,459.97
  5. Step 5: Solve for x
    x = 216,459.97/415.28
  6. Step 6: Final answer
    x = 521.24

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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.