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Finding the Fourth Proportional to 308.70, 425.91 and 177.66

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Solution

The fourth proportional to 308.70, 425.91 and 177.66 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 425.91 = 177.66 : x
  2. Step 2: Convert to fraction form
    308.70/425.91 = 177.66/x
  3. Step 3: Cross multiply
    308.70x = 425.91 × 177.66
  4. Step 4: Simplify right side
    308.70x = 75,667.17
  5. Step 5: Solve for x
    x = 75,667.17/308.70
  6. Step 6: Final answer
    x = 245.12

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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.