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Finding the Fourth Proportional to 281.77, 422.65 and 76.32

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Solution

The fourth proportional to 281.77, 422.65 and 76.32 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 422.65 = 76.32 : x
  2. Step 2: Convert to fraction form
    281.77/422.65 = 76.32/x
  3. Step 3: Cross multiply
    281.77x = 422.65 × 76.32
  4. Step 4: Simplify right side
    281.77x = 32,256.46
  5. Step 5: Solve for x
    x = 32,256.46/281.77
  6. Step 6: Final answer
    x = 114.48

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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.