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Finding the Fourth Proportional to 422.11, 582.50 and 235.59

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Solution

The fourth proportional to 422.11, 582.50 and 235.59 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 582.50 = 235.59 : x
  2. Step 2: Convert to fraction form
    422.11/582.50 = 235.59/x
  3. Step 3: Cross multiply
    422.11x = 582.50 × 235.59
  4. Step 4: Simplify right side
    422.11x = 137,231.18
  5. Step 5: Solve for x
    x = 137,231.18/422.11
  6. Step 6: Final answer
    x = 325.11

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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.