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Finding the Fourth Proportional to 422.18, 582.63 and 235.67

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Solution

The fourth proportional to 422.18, 582.63 and 235.67 is: 325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 582.63 = 235.67 : x
  2. Step 2: Convert to fraction form
    422.18/582.63 = 235.67/x
  3. Step 3: Cross multiply
    422.18x = 582.63 × 235.67
  4. Step 4: Simplify right side
    422.18x = 137,304.62
  5. Step 5: Solve for x
    x = 137,304.62/422.18
  6. Step 6: Final answer
    x = 325.23

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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.