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Finding the Fourth Proportional to 178.60, 267.10 and 159.48

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Solution

The fourth proportional to 178.60, 267.10 and 159.48 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 267.10 = 159.48 : x
  2. Step 2: Convert to fraction form
    178.60/267.10 = 159.48/x
  3. Step 3: Cross multiply
    178.60x = 267.10 × 159.48
  4. Step 4: Simplify right side
    178.60x = 42,597.11
  5. Step 5: Solve for x
    x = 42,597.11/178.60
  6. Step 6: Final answer
    x = 238.51

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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.