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Finding the Fourth Proportional to 422.74, 583.36 and 256.96

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Solution

The fourth proportional to 422.74, 583.36 and 256.96 is: 354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 583.36 = 256.96 : x
  2. Step 2: Convert to fraction form
    422.74/583.36 = 256.96/x
  3. Step 3: Cross multiply
    422.74x = 583.36 × 256.96
  4. Step 4: Simplify right side
    422.74x = 149,900.19
  5. Step 5: Solve for x
    x = 149,900.19/422.74
  6. Step 6: Final answer
    x = 354.59

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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.