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Finding the Fourth Proportional to 281.01, 421.91 and 144.15

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Solution

The fourth proportional to 281.01, 421.91 and 144.15 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.01 : 421.91 = 144.15 : x
  2. Step 2: Convert to fraction form
    281.01/421.91 = 144.15/x
  3. Step 3: Cross multiply
    281.01x = 421.91 × 144.15
  4. Step 4: Simplify right side
    281.01x = 60,817.61
  5. Step 5: Solve for x
    x = 60,817.61/281.01
  6. Step 6: Final answer
    x = 216.43

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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.