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Finding the Fourth Proportional to 423.69, 584.67 and 237.19

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Solution

The fourth proportional to 423.69, 584.67 and 237.19 is: 327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.69 : 584.67 = 237.19 : x
  2. Step 2: Convert to fraction form
    423.69/584.67 = 237.19/x
  3. Step 3: Cross multiply
    423.69x = 584.67 × 237.19
  4. Step 4: Simplify right side
    423.69x = 138,676.69
  5. Step 5: Solve for x
    x = 138,676.69/423.69
  6. Step 6: Final answer
    x = 327.31

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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.