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Finding the Fourth Proportional to 187.92, 260.28 and 176.04

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Solution

The fourth proportional to 187.92, 260.28 and 176.04 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 260.28 = 176.04 : x
  2. Step 2: Convert to fraction form
    187.92/260.28 = 176.04/x
  3. Step 3: Cross multiply
    187.92x = 260.28 × 176.04
  4. Step 4: Simplify right side
    187.92x = 45,819.69
  5. Step 5: Solve for x
    x = 45,819.69/187.92
  6. Step 6: Final answer
    x = 243.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.