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Finding the Fourth Proportional to 281.31, 422.04 and 98.69

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Solution

The fourth proportional to 281.31, 422.04 and 98.69 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.31 : 422.04 = 98.69 : x
  2. Step 2: Convert to fraction form
    281.31/422.04 = 98.69/x
  3. Step 3: Cross multiply
    281.31x = 422.04 × 98.69
  4. Step 4: Simplify right side
    281.31x = 41,649.02
  5. Step 5: Solve for x
    x = 41,649.02/281.31
  6. Step 6: Final answer
    x = 148.05

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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.