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Finding the Fourth Proportional to 178.56, 267.69 and 97.44

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Solution

The fourth proportional to 178.56, 267.69 and 97.44 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 267.69 = 97.44 : x
  2. Step 2: Convert to fraction form
    178.56/267.69 = 97.44/x
  3. Step 3: Cross multiply
    178.56x = 267.69 × 97.44
  4. Step 4: Simplify right side
    178.56x = 26,083.71
  5. Step 5: Solve for x
    x = 26,083.71/178.56
  6. Step 6: Final answer
    x = 146.08

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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.