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Finding the Fourth Proportional to 187.11, 258.39 and 176.88

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Solution

The fourth proportional to 187.11, 258.39 and 176.88 is: 244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 258.39 = 176.88 : x
  2. Step 2: Convert to fraction form
    187.11/258.39 = 176.88/x
  3. Step 3: Cross multiply
    187.11x = 258.39 × 176.88
  4. Step 4: Simplify right side
    187.11x = 45,704.99
  5. Step 5: Solve for x
    x = 45,704.99/187.11
  6. Step 6: Final answer
    x = 244.27

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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.