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Finding the Fourth Proportional to 296.38, 444.38 and 142.34

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Solution

The fourth proportional to 296.38, 444.38 and 142.34 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 444.38 = 142.34 : x
  2. Step 2: Convert to fraction form
    296.38/444.38 = 142.34/x
  3. Step 3: Cross multiply
    296.38x = 444.38 × 142.34
  4. Step 4: Simplify right side
    296.38x = 63,252.34
  5. Step 5: Solve for x
    x = 63,252.34/296.38
  6. Step 6: Final answer
    x = 213.42

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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.