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Finding the Fourth Proportional to 418.52, 576.96 and 344.72

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Solution

The fourth proportional to 418.52, 576.96 and 344.72 is: 475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 576.96 = 344.72 : x
  2. Step 2: Convert to fraction form
    418.52/576.96 = 344.72/x
  3. Step 3: Cross multiply
    418.52x = 576.96 × 344.72
  4. Step 4: Simplify right side
    418.52x = 198,889.65
  5. Step 5: Solve for x
    x = 198,889.65/418.52
  6. Step 6: Final answer
    x = 475.22

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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.