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Finding the Fourth Proportional to 422.96, 583.67 and 248.33

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Solution

The fourth proportional to 422.96, 583.67 and 248.33 is: 342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 583.67 = 248.33 : x
  2. Step 2: Convert to fraction form
    422.96/583.67 = 248.33/x
  3. Step 3: Cross multiply
    422.96x = 583.67 × 248.33
  4. Step 4: Simplify right side
    422.96x = 144,944.85
  5. Step 5: Solve for x
    x = 144,944.85/422.96
  6. Step 6: Final answer
    x = 342.70

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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.