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Finding the Fourth Proportional to 187.22, 281.28 and 176.86

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Solution

The fourth proportional to 187.22, 281.28 and 176.86 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 281.28 = 176.86 : x
  2. Step 2: Convert to fraction form
    187.22/281.28 = 176.86/x
  3. Step 3: Cross multiply
    187.22x = 281.28 × 176.86
  4. Step 4: Simplify right side
    187.22x = 49,748.20
  5. Step 5: Solve for x
    x = 49,748.20/187.22
  6. Step 6: Final answer
    x = 265.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.