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Finding the Fourth Proportional to 187.87, 282.90 and 136.87

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Solution

The fourth proportional to 187.87, 282.90 and 136.87 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.87 : 282.90 = 136.87 : x
  2. Step 2: Convert to fraction form
    187.87/282.90 = 136.87/x
  3. Step 3: Cross multiply
    187.87x = 282.90 × 136.87
  4. Step 4: Simplify right side
    187.87x = 38,720.52
  5. Step 5: Solve for x
    x = 38,720.52/187.87
  6. Step 6: Final answer
    x = 206.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.