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Finding the Fourth Proportional to 187.87, 280.17 and 177.63

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Solution

The fourth proportional to 187.87, 280.17 and 177.63 is: 264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.87 : 280.17 = 177.63 : x
  2. Step 2: Convert to fraction form
    187.87/280.17 = 177.63/x
  3. Step 3: Cross multiply
    187.87x = 280.17 × 177.63
  4. Step 4: Simplify right side
    187.87x = 49,767.41
  5. Step 5: Solve for x
    x = 49,767.41/187.87
  6. Step 6: Final answer
    x = 264.90

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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.