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Finding the Fourth Proportional to 187.92, 280.53 and 163.89

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Solution

The fourth proportional to 187.92, 280.53 and 163.89 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 280.53 = 163.89 : x
  2. Step 2: Convert to fraction form
    187.92/280.53 = 163.89/x
  3. Step 3: Cross multiply
    187.92x = 280.53 × 163.89
  4. Step 4: Simplify right side
    187.92x = 45,976.06
  5. Step 5: Solve for x
    x = 45,976.06/187.92
  6. Step 6: Final answer
    x = 244.66

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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.