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Finding the Fourth Proportional to 187.49, 282.67 and 177.57

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Solution

The fourth proportional to 187.49, 282.67 and 177.57 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.49 : 282.67 = 177.57 : x
  2. Step 2: Convert to fraction form
    187.49/282.67 = 177.57/x
  3. Step 3: Cross multiply
    187.49x = 282.67 × 177.57
  4. Step 4: Simplify right side
    187.49x = 50,193.27
  5. Step 5: Solve for x
    x = 50,193.27/187.49
  6. Step 6: Final answer
    x = 267.71

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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.