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Finding the Fourth Proportional to 422.46, 582.81 and 256.66

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Solution

The fourth proportional to 422.46, 582.81 and 256.66 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 582.81 = 256.66 : x
  2. Step 2: Convert to fraction form
    422.46/582.81 = 256.66/x
  3. Step 3: Cross multiply
    422.46x = 582.81 × 256.66
  4. Step 4: Simplify right side
    422.46x = 149,584.66
  5. Step 5: Solve for x
    x = 149,584.66/422.46
  6. Step 6: Final answer
    x = 354.08

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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.