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Finding the Fourth Proportional to 177.28, 267.52 and 170.64

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Solution

The fourth proportional to 177.28, 267.52 and 170.64 is: 257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 267.52 = 170.64 : x
  2. Step 2: Convert to fraction form
    177.28/267.52 = 170.64/x
  3. Step 3: Cross multiply
    177.28x = 267.52 × 170.64
  4. Step 4: Simplify right side
    177.28x = 45,649.61
  5. Step 5: Solve for x
    x = 45,649.61/177.28
  6. Step 6: Final answer
    x = 257.50

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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.