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Finding the Fourth Proportional to 297.92, 410.56 and 214.88

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Solution

The fourth proportional to 297.92, 410.56 and 214.88 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 410.56 = 214.88 : x
  2. Step 2: Convert to fraction form
    297.92/410.56 = 214.88/x
  3. Step 3: Cross multiply
    297.92x = 410.56 × 214.88
  4. Step 4: Simplify right side
    297.92x = 88,218.54
  5. Step 5: Solve for x
    x = 88,218.54/297.92
  6. Step 6: Final answer
    x = 296.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.