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Finding the Fourth Proportional to 177.92, 268.16 and 170.88

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Solution

The fourth proportional to 177.92, 268.16 and 170.88 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.92 : 268.16 = 170.88 : x
  2. Step 2: Convert to fraction form
    177.92/268.16 = 170.88/x
  3. Step 3: Cross multiply
    177.92x = 268.16 × 170.88
  4. Step 4: Simplify right side
    177.92x = 45,823.18
  5. Step 5: Solve for x
    x = 45,823.18/177.92
  6. Step 6: Final answer
    x = 257.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.