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Finding the Fourth Proportional to 422.31, 582.77 and 235.79

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Solution

The fourth proportional to 422.31, 582.77 and 235.79 is: 325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 582.77 = 235.79 : x
  2. Step 2: Convert to fraction form
    422.31/582.77 = 235.79/x
  3. Step 3: Cross multiply
    422.31x = 582.77 × 235.79
  4. Step 4: Simplify right side
    422.31x = 137,411.34
  5. Step 5: Solve for x
    x = 137,411.34/422.31
  6. Step 6: Final answer
    x = 325.38

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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.