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Finding the Fourth Proportional to 187.91, 280.20 and 174.92

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Solution

The fourth proportional to 187.91, 280.20 and 174.92 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.91 : 280.20 = 174.92 : x
  2. Step 2: Convert to fraction form
    187.91/280.20 = 174.92/x
  3. Step 3: Cross multiply
    187.91x = 280.20 × 174.92
  4. Step 4: Simplify right side
    187.91x = 49,013.28
  5. Step 5: Solve for x
    x = 49,013.28/187.91
  6. Step 6: Final answer
    x = 260.84

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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.