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Finding the Fourth Proportional to 281.67, 422.10 and 281.40

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Solution

The fourth proportional to 281.67, 422.10 and 281.40 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.67 : 422.10 = 281.40 : x
  2. Step 2: Convert to fraction form
    281.67/422.10 = 281.40/x
  3. Step 3: Cross multiply
    281.67x = 422.10 × 281.40
  4. Step 4: Simplify right side
    281.67x = 118,778.94
  5. Step 5: Solve for x
    x = 118,778.94/281.67
  6. Step 6: Final answer
    x = 421.70

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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.