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Finding the Fourth Proportional to 281.80, 421.89 and 224.10

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Solution

The fourth proportional to 281.80, 421.89 and 224.10 is: 335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 421.89 = 224.10 : x
  2. Step 2: Convert to fraction form
    281.80/421.89 = 224.10/x
  3. Step 3: Cross multiply
    281.80x = 421.89 × 224.10
  4. Step 4: Simplify right side
    281.80x = 94,545.55
  5. Step 5: Solve for x
    x = 94,545.55/281.80
  6. Step 6: Final answer
    x = 335.51

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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.