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Finding the Fourth Proportional to 178.83, 267.71 and 101.66

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Solution

The fourth proportional to 178.83, 267.71 and 101.66 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 267.71 = 101.66 : x
  2. Step 2: Convert to fraction form
    178.83/267.71 = 101.66/x
  3. Step 3: Cross multiply
    178.83x = 267.71 × 101.66
  4. Step 4: Simplify right side
    178.83x = 27,213.55
  5. Step 5: Solve for x
    x = 27,213.55/178.83
  6. Step 6: Final answer
    x = 152.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.