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Finding the Fourth Proportional to 414.06, 621.40 and 154.30

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Solution

The fourth proportional to 414.06, 621.40 and 154.30 is: 231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 621.40 = 154.30 : x
  2. Step 2: Convert to fraction form
    414.06/621.40 = 154.30/x
  3. Step 3: Cross multiply
    414.06x = 621.40 × 154.30
  4. Step 4: Simplify right side
    414.06x = 95,882.02
  5. Step 5: Solve for x
    x = 95,882.02/414.06
  6. Step 6: Final answer
    x = 231.57

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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.