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Finding the Fourth Proportional to 422.75, 583.45 and 257.02

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Solution

The fourth proportional to 422.75, 583.45 and 257.02 is: 354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 583.45 = 257.02 : x
  2. Step 2: Convert to fraction form
    422.75/583.45 = 257.02/x
  3. Step 3: Cross multiply
    422.75x = 583.45 × 257.02
  4. Step 4: Simplify right side
    422.75x = 149,958.32
  5. Step 5: Solve for x
    x = 149,958.32/422.75
  6. Step 6: Final answer
    x = 354.72

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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.