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Finding the Fourth Proportional to 414.74, 621.69 and 140.65

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Solution

The fourth proportional to 414.74, 621.69 and 140.65 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 621.69 = 140.65 : x
  2. Step 2: Convert to fraction form
    414.74/621.69 = 140.65/x
  3. Step 3: Cross multiply
    414.74x = 621.69 × 140.65
  4. Step 4: Simplify right side
    414.74x = 87,437.59
  5. Step 5: Solve for x
    x = 87,437.59/414.74
  6. Step 6: Final answer
    x = 210.83

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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.