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Finding the Fourth Proportional to 576.80, 864.49 and 268.23

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Solution

The fourth proportional to 576.80, 864.49 and 268.23 is: 402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 864.49 = 268.23 : x
  2. Step 2: Convert to fraction form
    576.80/864.49 = 268.23/x
  3. Step 3: Cross multiply
    576.80x = 864.49 × 268.23
  4. Step 4: Simplify right side
    576.80x = 231,882.15
  5. Step 5: Solve for x
    x = 231,882.15/576.80
  6. Step 6: Final answer
    x = 402.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.