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Finding the Fourth Proportional to 410.89, 615.52 and 308.29

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Solution

The fourth proportional to 410.89, 615.52 and 308.29 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.89 : 615.52 = 308.29 : x
  2. Step 2: Convert to fraction form
    410.89/615.52 = 308.29/x
  3. Step 3: Cross multiply
    410.89x = 615.52 × 308.29
  4. Step 4: Simplify right side
    410.89x = 189,754.04
  5. Step 5: Solve for x
    x = 189,754.04/410.89
  6. Step 6: Final answer
    x = 461.82

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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.