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Finding the Fourth Proportional to 187.42, 280.78 and 166.91

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Solution

The fourth proportional to 187.42, 280.78 and 166.91 is: 250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.42 : 280.78 = 166.91 : x
  2. Step 2: Convert to fraction form
    187.42/280.78 = 166.91/x
  3. Step 3: Cross multiply
    187.42x = 280.78 × 166.91
  4. Step 4: Simplify right side
    187.42x = 46,864.16
  5. Step 5: Solve for x
    x = 46,864.16/187.42
  6. Step 6: Final answer
    x = 250.06

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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.