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Finding the Fourth Proportional to 308.89, 461.08 and 269.97

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Solution

The fourth proportional to 308.89, 461.08 and 269.97 is: 402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.89 : 461.08 = 269.97 : x
  2. Step 2: Convert to fraction form
    308.89/461.08 = 269.97/x
  3. Step 3: Cross multiply
    308.89x = 461.08 × 269.97
  4. Step 4: Simplify right side
    308.89x = 124,475.46
  5. Step 5: Solve for x
    x = 124,475.46/308.89
  6. Step 6: Final answer
    x = 402.98

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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.