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Finding the Fourth Proportional to 308.47, 425.67 and 177.52

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Solution

The fourth proportional to 308.47, 425.67 and 177.52 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.47 : 425.67 = 177.52 : x
  2. Step 2: Convert to fraction form
    308.47/425.67 = 177.52/x
  3. Step 3: Cross multiply
    308.47x = 425.67 × 177.52
  4. Step 4: Simplify right side
    308.47x = 75,564.05
  5. Step 5: Solve for x
    x = 75,564.05/308.47
  6. Step 6: Final answer
    x = 244.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.