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Finding the Fourth Proportional to 423.20, 584.00 and 248.54

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Solution

The fourth proportional to 423.20, 584.00 and 248.54 is: 342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 584.00 = 248.54 : x
  2. Step 2: Convert to fraction form
    423.20/584.00 = 248.54/x
  3. Step 3: Cross multiply
    423.20x = 584.00 × 248.54
  4. Step 4: Simplify right side
    423.20x = 145,143.20
  5. Step 5: Solve for x
    x = 145,143.20/423.20
  6. Step 6: Final answer
    x = 342.97

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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.