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Finding the Fourth Proportional to 281.50, 422.29 and 98.87

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Solution

The fourth proportional to 281.50, 422.29 and 98.87 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 422.29 = 98.87 : x
  2. Step 2: Convert to fraction form
    281.50/422.29 = 98.87/x
  3. Step 3: Cross multiply
    281.50x = 422.29 × 98.87
  4. Step 4: Simplify right side
    281.50x = 41,751.92
  5. Step 5: Solve for x
    x = 41,751.92/281.50
  6. Step 6: Final answer
    x = 148.32

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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.