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Finding the Fourth Proportional to 422.87, 583.59 and 257.12

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Solution

The fourth proportional to 422.87, 583.59 and 257.12 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 583.59 = 257.12 : x
  2. Step 2: Convert to fraction form
    422.87/583.59 = 257.12/x
  3. Step 3: Cross multiply
    422.87x = 583.59 × 257.12
  4. Step 4: Simplify right side
    422.87x = 150,049.74
  5. Step 5: Solve for x
    x = 150,049.74/422.87
  6. Step 6: Final answer
    x = 354.84

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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.