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Finding the Fourth Proportional to 178.92, 269.40 and 125.16

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Solution

The fourth proportional to 178.92, 269.40 and 125.16 is: 188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 269.40 = 125.16 : x
  2. Step 2: Convert to fraction form
    178.92/269.40 = 125.16/x
  3. Step 3: Cross multiply
    178.92x = 269.40 × 125.16
  4. Step 4: Simplify right side
    178.92x = 33,717.56
  5. Step 5: Solve for x
    x = 33,717.56/178.92
  6. Step 6: Final answer
    x = 188.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.