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Finding the Fourth Proportional to 177.18, 267.10 and 151.71

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Solution

The fourth proportional to 177.18, 267.10 and 151.71 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 267.10 = 151.71 : x
  2. Step 2: Convert to fraction form
    177.18/267.10 = 151.71/x
  3. Step 3: Cross multiply
    177.18x = 267.10 × 151.71
  4. Step 4: Simplify right side
    177.18x = 40,521.74
  5. Step 5: Solve for x
    x = 40,521.74/177.18
  6. Step 6: Final answer
    x = 228.70

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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.