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Finding the Fourth Proportional to 177.71, 245.60 and 133.97

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Solution

The fourth proportional to 177.71, 245.60 and 133.97 is: 185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 245.60 = 133.97 : x
  2. Step 2: Convert to fraction form
    177.71/245.60 = 133.97/x
  3. Step 3: Cross multiply
    177.71x = 245.60 × 133.97
  4. Step 4: Simplify right side
    177.71x = 32,902.14
  5. Step 5: Solve for x
    x = 32,902.14/177.71
  6. Step 6: Final answer
    x = 185.15

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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.