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Finding the Fourth Proportional to 186.87, 281.76 and 175.77

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Solution

The fourth proportional to 186.87, 281.76 and 175.77 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 281.76 = 175.77 : x
  2. Step 2: Convert to fraction form
    186.87/281.76 = 175.77/x
  3. Step 3: Cross multiply
    186.87x = 281.76 × 175.77
  4. Step 4: Simplify right side
    186.87x = 49,524.96
  5. Step 5: Solve for x
    x = 49,524.96/186.87
  6. Step 6: Final answer
    x = 265.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.