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Finding the Fourth Proportional to 281.23, 421.57 and 144.34

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Solution

The fourth proportional to 281.23, 421.57 and 144.34 is: 216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.23 : 421.57 = 144.34 : x
  2. Step 2: Convert to fraction form
    281.23/421.57 = 144.34/x
  3. Step 3: Cross multiply
    281.23x = 421.57 × 144.34
  4. Step 4: Simplify right side
    281.23x = 60,849.41
  5. Step 5: Solve for x
    x = 60,849.41/281.23
  6. Step 6: Final answer
    x = 216.37

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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.