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Finding the Fourth Proportional to 178.39, 267.23 and 141.89

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Solution

The fourth proportional to 178.39, 267.23 and 141.89 is: 212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.39 : 267.23 = 141.89 : x
  2. Step 2: Convert to fraction form
    178.39/267.23 = 141.89/x
  3. Step 3: Cross multiply
    178.39x = 267.23 × 141.89
  4. Step 4: Simplify right side
    178.39x = 37,917.26
  5. Step 5: Solve for x
    x = 37,917.26/178.39
  6. Step 6: Final answer
    x = 212.55

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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.