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Finding the Fourth Proportional to 308.25, 425.34 and 177.21

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Solution

The fourth proportional to 308.25, 425.34 and 177.21 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 425.34 = 177.21 : x
  2. Step 2: Convert to fraction form
    308.25/425.34 = 177.21/x
  3. Step 3: Cross multiply
    308.25x = 425.34 × 177.21
  4. Step 4: Simplify right side
    308.25x = 75,374.50
  5. Step 5: Solve for x
    x = 75,374.50/308.25
  6. Step 6: Final answer
    x = 244.52

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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.