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Finding the Fourth Proportional to 423.92, 584.60 and 306.65

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Solution

The fourth proportional to 423.92, 584.60 and 306.65 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.92 : 584.60 = 306.65 : x
  2. Step 2: Convert to fraction form
    423.92/584.60 = 306.65/x
  3. Step 3: Cross multiply
    423.92x = 584.60 × 306.65
  4. Step 4: Simplify right side
    423.92x = 179,267.52
  5. Step 5: Solve for x
    x = 179,267.52/423.92
  6. Step 6: Final answer
    x = 422.88

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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.