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Finding the Fourth Proportional to 423.97, 584.66 and 319.31

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Solution

The fourth proportional to 423.97, 584.66 and 319.31 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 584.66 = 319.31 : x
  2. Step 2: Convert to fraction form
    423.97/584.66 = 319.31/x
  3. Step 3: Cross multiply
    423.97x = 584.66 × 319.31
  4. Step 4: Simplify right side
    423.97x = 186,687.78
  5. Step 5: Solve for x
    x = 186,687.78/423.97
  6. Step 6: Final answer
    x = 440.33

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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.