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Finding the Fourth Proportional to 281.28, 387.80 and 182.88

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Solution

The fourth proportional to 281.28, 387.80 and 182.88 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.28 : 387.80 = 182.88 : x
  2. Step 2: Convert to fraction form
    281.28/387.80 = 182.88/x
  3. Step 3: Cross multiply
    281.28x = 387.80 × 182.88
  4. Step 4: Simplify right side
    281.28x = 70,920.86
  5. Step 5: Solve for x
    x = 70,920.86/281.28
  6. Step 6: Final answer
    x = 252.14

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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.