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Finding the Fourth Proportional to 296.96, 447.08 and 271.44

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Solution

The fourth proportional to 296.96, 447.08 and 271.44 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 447.08 = 271.44 : x
  2. Step 2: Convert to fraction form
    296.96/447.08 = 271.44/x
  3. Step 3: Cross multiply
    296.96x = 447.08 × 271.44
  4. Step 4: Simplify right side
    296.96x = 121,354.04
  5. Step 5: Solve for x
    x = 121,354.04/296.96
  6. Step 6: Final answer
    x = 408.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.