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Finding the Fourth Proportional to 422.81, 584.04 and 340.23

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Solution

The fourth proportional to 422.81, 584.04 and 340.23 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 584.04 = 340.23 : x
  2. Step 2: Convert to fraction form
    422.81/584.04 = 340.23/x
  3. Step 3: Cross multiply
    422.81x = 584.04 × 340.23
  4. Step 4: Simplify right side
    422.81x = 198,705.62
  5. Step 5: Solve for x
    x = 198,705.62/422.81
  6. Step 6: Final answer
    x = 469.96

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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.