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Finding the Fourth Proportional to 297.88, 411.64 and 227.88

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Solution

The fourth proportional to 297.88, 411.64 and 227.88 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.88 : 411.64 = 227.88 : x
  2. Step 2: Convert to fraction form
    297.88/411.64 = 227.88/x
  3. Step 3: Cross multiply
    297.88x = 411.64 × 227.88
  4. Step 4: Simplify right side
    297.88x = 93,804.52
  5. Step 5: Solve for x
    x = 93,804.52/297.88
  6. Step 6: Final answer
    x = 314.91

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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.