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Finding the Fourth Proportional to 187.80, 281.36 and 176.82

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Solution

The fourth proportional to 187.80, 281.36 and 176.82 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 281.36 = 176.82 : x
  2. Step 2: Convert to fraction form
    187.80/281.36 = 176.82/x
  3. Step 3: Cross multiply
    187.80x = 281.36 × 176.82
  4. Step 4: Simplify right side
    187.80x = 49,750.08
  5. Step 5: Solve for x
    x = 49,750.08/187.80
  6. Step 6: Final answer
    x = 264.91

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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.