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Finding the Fourth Proportional to 422.92, 583.72 and 248.30

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Solution

The fourth proportional to 422.92, 583.72 and 248.30 is: 342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.72 = 248.30 : x
  2. Step 2: Convert to fraction form
    422.92/583.72 = 248.30/x
  3. Step 3: Cross multiply
    422.92x = 583.72 × 248.30
  4. Step 4: Simplify right side
    422.92x = 144,937.68
  5. Step 5: Solve for x
    x = 144,937.68/422.92
  6. Step 6: Final answer
    x = 342.71

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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.