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Finding the Fourth Proportional to 296.86, 447.21 and 271.49

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Solution

The fourth proportional to 296.86, 447.21 and 271.49 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 447.21 = 271.49 : x
  2. Step 2: Convert to fraction form
    296.86/447.21 = 271.49/x
  3. Step 3: Cross multiply
    296.86x = 447.21 × 271.49
  4. Step 4: Simplify right side
    296.86x = 121,411.57
  5. Step 5: Solve for x
    x = 121,411.57/296.86
  6. Step 6: Final answer
    x = 408.99

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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.