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Finding the Fourth Proportional to 281.40, 422.13 and 98.81

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Solution

The fourth proportional to 281.40, 422.13 and 98.81 is: 148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 422.13 = 98.81 : x
  2. Step 2: Convert to fraction form
    281.40/422.13 = 98.81/x
  3. Step 3: Cross multiply
    281.40x = 422.13 × 98.81
  4. Step 4: Simplify right side
    281.40x = 41,708.55
  5. Step 5: Solve for x
    x = 41,708.55/281.40
  6. Step 6: Final answer
    x = 148.22

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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.