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Finding the Fourth Proportional to 422.27, 582.77 and 235.77

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Solution

The fourth proportional to 422.27, 582.77 and 235.77 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.27 : 582.77 = 235.77 : x
  2. Step 2: Convert to fraction form
    422.27/582.77 = 235.77/x
  3. Step 3: Cross multiply
    422.27x = 582.77 × 235.77
  4. Step 4: Simplify right side
    422.27x = 137,398.50
  5. Step 5: Solve for x
    x = 137,398.50/422.27
  6. Step 6: Final answer
    x = 325.38

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Double scale
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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.