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Finding the Fourth Proportional to 422.94, 583.70 and 257.19

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Solution

The fourth proportional to 422.94, 583.70 and 257.19 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 583.70 = 257.19 : x
  2. Step 2: Convert to fraction form
    422.94/583.70 = 257.19/x
  3. Step 3: Cross multiply
    422.94x = 583.70 × 257.19
  4. Step 4: Simplify right side
    422.94x = 150,120.52
  5. Step 5: Solve for x
    x = 150,120.52/422.94
  6. Step 6: Final answer
    x = 354.95

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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.