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Finding the Fourth Proportional to 297.46, 410.84 and 199.65

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Solution

The fourth proportional to 297.46, 410.84 and 199.65 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 410.84 = 199.65 : x
  2. Step 2: Convert to fraction form
    297.46/410.84 = 199.65/x
  3. Step 3: Cross multiply
    297.46x = 410.84 × 199.65
  4. Step 4: Simplify right side
    297.46x = 82,024.21
  5. Step 5: Solve for x
    x = 82,024.21/297.46
  6. Step 6: Final answer
    x = 275.75

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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.