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Finding the Fourth Proportional to 297.68, 411.48 and 248.27

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Solution

The fourth proportional to 297.68, 411.48 and 248.27 is: 343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 411.48 = 248.27 : x
  2. Step 2: Convert to fraction form
    297.68/411.48 = 248.27/x
  3. Step 3: Cross multiply
    297.68x = 411.48 × 248.27
  4. Step 4: Simplify right side
    297.68x = 102,156.08
  5. Step 5: Solve for x
    x = 102,156.08/297.68
  6. Step 6: Final answer
    x = 343.18

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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.