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Finding the Fourth Proportional to 281.60, 422.42 and 76.16

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Solution

The fourth proportional to 281.60, 422.42 and 76.16 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 422.42 = 76.16 : x
  2. Step 2: Convert to fraction form
    281.60/422.42 = 76.16/x
  3. Step 3: Cross multiply
    281.60x = 422.42 × 76.16
  4. Step 4: Simplify right side
    281.60x = 32,169.01
  5. Step 5: Solve for x
    x = 32,169.01/281.60
  6. Step 6: Final answer
    x = 114.24

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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.