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Finding the Fourth Proportional to 423.85, 584.62 and 306.30

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Solution

The fourth proportional to 423.85, 584.62 and 306.30 is: 422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.85 : 584.62 = 306.30 : x
  2. Step 2: Convert to fraction form
    423.85/584.62 = 306.30/x
  3. Step 3: Cross multiply
    423.85x = 584.62 × 306.30
  4. Step 4: Simplify right side
    423.85x = 179,069.49
  5. Step 5: Solve for x
    x = 179,069.49/423.85
  6. Step 6: Final answer
    x = 422.48

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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.