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Finding the Fourth Proportional to 187.38, 282.34 and 155.59

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Solution

The fourth proportional to 187.38, 282.34 and 155.59 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 282.34 = 155.59 : x
  2. Step 2: Convert to fraction form
    187.38/282.34 = 155.59/x
  3. Step 3: Cross multiply
    187.38x = 282.34 × 155.59
  4. Step 4: Simplify right side
    187.38x = 43,928.19
  5. Step 5: Solve for x
    x = 43,928.19/187.38
  6. Step 6: Final answer
    x = 234.43

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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.