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Finding the Fourth Proportional to 296.42, 444.33 and 142.24

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Solution

The fourth proportional to 296.42, 444.33 and 142.24 is: 213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 444.33 = 142.24 : x
  2. Step 2: Convert to fraction form
    296.42/444.33 = 142.24/x
  3. Step 3: Cross multiply
    296.42x = 444.33 × 142.24
  4. Step 4: Simplify right side
    296.42x = 63,200.39
  5. Step 5: Solve for x
    x = 63,200.39/296.42
  6. Step 6: Final answer
    x = 213.21

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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.