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Finding the Fourth Proportional to 178.28, 266.84 and 96.92

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Solution

The fourth proportional to 178.28, 266.84 and 96.92 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 266.84 = 96.92 : x
  2. Step 2: Convert to fraction form
    178.28/266.84 = 96.92/x
  3. Step 3: Cross multiply
    178.28x = 266.84 × 96.92
  4. Step 4: Simplify right side
    178.28x = 25,862.13
  5. Step 5: Solve for x
    x = 25,862.13/178.28
  6. Step 6: Final answer
    x = 145.06

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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.