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Finding the Fourth Proportional to 296.22, 444.25 and 279.31

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Solution

The fourth proportional to 296.22, 444.25 and 279.31 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 444.25 = 279.31 : x
  2. Step 2: Convert to fraction form
    296.22/444.25 = 279.31/x
  3. Step 3: Cross multiply
    296.22x = 444.25 × 279.31
  4. Step 4: Simplify right side
    296.22x = 124,079.85
  5. Step 5: Solve for x
    x = 124,079.85/296.22
  6. Step 6: Final answer
    x = 418.88

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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.