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Finding the Fourth Proportional to 281.43, 421.76 and 144.19

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Solution

The fourth proportional to 281.43, 421.76 and 144.19 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.43 : 421.76 = 144.19 : x
  2. Step 2: Convert to fraction form
    281.43/421.76 = 144.19/x
  3. Step 3: Cross multiply
    281.43x = 421.76 × 144.19
  4. Step 4: Simplify right side
    281.43x = 60,812.09
  5. Step 5: Solve for x
    x = 60,812.09/281.43
  6. Step 6: Final answer
    x = 216.08

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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.