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Finding the Fourth Proportional to 423.38, 584.28 and 236.89

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Solution

The fourth proportional to 423.38, 584.28 and 236.89 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.38 : 584.28 = 236.89 : x
  2. Step 2: Convert to fraction form
    423.38/584.28 = 236.89/x
  3. Step 3: Cross multiply
    423.38x = 584.28 × 236.89
  4. Step 4: Simplify right side
    423.38x = 138,407.74
  5. Step 5: Solve for x
    x = 138,407.74/423.38
  6. Step 6: Final answer
    x = 326.91

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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.