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Finding the Fourth Proportional to 178.16, 266.78 and 129.21

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Solution

The fourth proportional to 178.16, 266.78 and 129.21 is: 193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 266.78 = 129.21 : x
  2. Step 2: Convert to fraction form
    178.16/266.78 = 129.21/x
  3. Step 3: Cross multiply
    178.16x = 266.78 × 129.21
  4. Step 4: Simplify right side
    178.16x = 34,469.31
  5. Step 5: Solve for x
    x = 34,469.31/178.16
  6. Step 6: Final answer
    x = 193.48

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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.