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Finding the Fourth Proportional to 449.69, 675.14 and 233.42

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Solution

The fourth proportional to 449.69, 675.14 and 233.42 is: 350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.69 : 675.14 = 233.42 : x
  2. Step 2: Convert to fraction form
    449.69/675.14 = 233.42/x
  3. Step 3: Cross multiply
    449.69x = 675.14 × 233.42
  4. Step 4: Simplify right side
    449.69x = 157,586.64
  5. Step 5: Solve for x
    x = 157,586.64/449.69
  6. Step 6: Final answer
    x = 350.44

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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.