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Finding the Fourth Proportional to 178.73, 266.31 and 170.87

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Solution

The fourth proportional to 178.73, 266.31 and 170.87 is: 254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.73 : 266.31 = 170.87 : x
  2. Step 2: Convert to fraction form
    178.73/266.31 = 170.87/x
  3. Step 3: Cross multiply
    178.73x = 266.31 × 170.87
  4. Step 4: Simplify right side
    178.73x = 45,502.20
  5. Step 5: Solve for x
    x = 45,502.20/178.73
  6. Step 6: Final answer
    x = 254.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.