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Finding the Fourth Proportional to 177.28, 267.12 and 171.52

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Solution

The fourth proportional to 177.28, 267.12 and 171.52 is: 258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 267.12 = 171.52 : x
  2. Step 2: Convert to fraction form
    177.28/267.12 = 171.52/x
  3. Step 3: Cross multiply
    177.28x = 267.12 × 171.52
  4. Step 4: Simplify right side
    177.28x = 45,816.42
  5. Step 5: Solve for x
    x = 45,816.42/177.28
  6. Step 6: Final answer
    x = 258.44

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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.