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Finding the Fourth Proportional to 187, 257.97 and 116.11

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Solution

The fourth proportional to 187, 257.97 and 116.11 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 257.97 = 116.11 : x
  2. Step 2: Convert to fraction form
    187/257.97 = 116.11/x
  3. Step 3: Cross multiply
    187x = 257.97 × 116.11
  4. Step 4: Simplify right side
    187x = 29,952.90
  5. Step 5: Solve for x
    x = 29,952.90/187
  6. Step 6: Final answer
    x = 160.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.