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Finding the Fourth Proportional to 418.23, 576.92 and 287.42

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Solution

The fourth proportional to 418.23, 576.92 and 287.42 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 576.92 = 287.42 : x
  2. Step 2: Convert to fraction form
    418.23/576.92 = 287.42/x
  3. Step 3: Cross multiply
    418.23x = 576.92 × 287.42
  4. Step 4: Simplify right side
    418.23x = 165,816.18
  5. Step 5: Solve for x
    x = 165,816.18/418.23
  6. Step 6: Final answer
    x = 396.47

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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.