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Finding the Fourth Proportional to 418.46, 576.80 and 287.24

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Solution

The fourth proportional to 418.46, 576.80 and 287.24 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.46 : 576.80 = 287.24 : x
  2. Step 2: Convert to fraction form
    418.46/576.80 = 287.24/x
  3. Step 3: Cross multiply
    418.46x = 576.80 × 287.24
  4. Step 4: Simplify right side
    418.46x = 165,675.71
  5. Step 5: Solve for x
    x = 165,675.71/418.46
  6. Step 6: Final answer
    x = 395.92

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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.