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Finding the Fourth Proportional to 178.85, 267.78 and 97.45

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Solution

The fourth proportional to 178.85, 267.78 and 97.45 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 267.78 = 97.45 : x
  2. Step 2: Convert to fraction form
    178.85/267.78 = 97.45/x
  3. Step 3: Cross multiply
    178.85x = 267.78 × 97.45
  4. Step 4: Simplify right side
    178.85x = 26,095.16
  5. Step 5: Solve for x
    x = 26,095.16/178.85
  6. Step 6: Final answer
    x = 145.91

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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.