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Finding the Fourth Proportional to 418.01, 576.90 and 252.23

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Solution

The fourth proportional to 418.01, 576.90 and 252.23 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.01 : 576.90 = 252.23 : x
  2. Step 2: Convert to fraction form
    418.01/576.90 = 252.23/x
  3. Step 3: Cross multiply
    418.01x = 576.90 × 252.23
  4. Step 4: Simplify right side
    418.01x = 145,508.60
  5. Step 5: Solve for x
    x = 145,508.60/418.01
  6. Step 6: Final answer
    x = 348.10

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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.