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Finding the Fourth Proportional to 187.49, 258.64 and 113.68

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Solution

The fourth proportional to 187.49, 258.64 and 113.68 is: 156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.49 : 258.64 = 113.68 : x
  2. Step 2: Convert to fraction form
    187.49/258.64 = 113.68/x
  3. Step 3: Cross multiply
    187.49x = 258.64 × 113.68
  4. Step 4: Simplify right side
    187.49x = 29,402.15
  5. Step 5: Solve for x
    x = 29,402.15/187.49
  6. Step 6: Final answer
    x = 156.82

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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.