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Finding the Fourth Proportional to 423.29, 584.16 and 248.69

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Solution

The fourth proportional to 423.29, 584.16 and 248.69 is: 343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 584.16 = 248.69 : x
  2. Step 2: Convert to fraction form
    423.29/584.16 = 248.69/x
  3. Step 3: Cross multiply
    423.29x = 584.16 × 248.69
  4. Step 4: Simplify right side
    423.29x = 145,274.75
  5. Step 5: Solve for x
    x = 145,274.75/423.29
  6. Step 6: Final answer
    x = 343.20

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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.