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Finding the Fourth Proportional to 576.07, 864.25 and 251.36

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Solution

The fourth proportional to 576.07, 864.25 and 251.36 is: 377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.07 : 864.25 = 251.36 : x
  2. Step 2: Convert to fraction form
    576.07/864.25 = 251.36/x
  3. Step 3: Cross multiply
    576.07x = 864.25 × 251.36
  4. Step 4: Simplify right side
    576.07x = 217,237.88
  5. Step 5: Solve for x
    x = 217,237.88/576.07
  6. Step 6: Final answer
    x = 377.11

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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.