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Finding the Fourth Proportional to 414.17, 621.11 and 140.18

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Solution

The fourth proportional to 414.17, 621.11 and 140.18 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 621.11 = 140.18 : x
  2. Step 2: Convert to fraction form
    414.17/621.11 = 140.18/x
  3. Step 3: Cross multiply
    414.17x = 621.11 × 140.18
  4. Step 4: Simplify right side
    414.17x = 87,067.20
  5. Step 5: Solve for x
    x = 87,067.20/414.17
  6. Step 6: Final answer
    x = 210.22

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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.