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Finding the Fourth Proportional to 422.80, 582.84 and 291.56

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Solution

The fourth proportional to 422.80, 582.84 and 291.56 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 582.84 = 291.56 : x
  2. Step 2: Convert to fraction form
    422.80/582.84 = 291.56/x
  3. Step 3: Cross multiply
    422.80x = 582.84 × 291.56
  4. Step 4: Simplify right side
    422.80x = 169,932.83
  5. Step 5: Solve for x
    x = 169,932.83/422.80
  6. Step 6: Final answer
    x = 401.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.