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Finding the Fourth Proportional to 297.65, 410.81 and 227.61

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Solution

The fourth proportional to 297.65, 410.81 and 227.61 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.65 : 410.81 = 227.61 : x
  2. Step 2: Convert to fraction form
    297.65/410.81 = 227.61/x
  3. Step 3: Cross multiply
    297.65x = 410.81 × 227.61
  4. Step 4: Simplify right side
    297.65x = 93,503.33
  5. Step 5: Solve for x
    x = 93,503.33/297.65
  6. Step 6: Final answer
    x = 314.14

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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.