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Finding the Fourth Proportional to 414.71, 621.86 and 232.06

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Solution

The fourth proportional to 414.71, 621.86 and 232.06 is: 347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.71 : 621.86 = 232.06 : x
  2. Step 2: Convert to fraction form
    414.71/621.86 = 232.06/x
  3. Step 3: Cross multiply
    414.71x = 621.86 × 232.06
  4. Step 4: Simplify right side
    414.71x = 144,308.20
  5. Step 5: Solve for x
    x = 144,308.20/414.71
  6. Step 6: Final answer
    x = 347.97

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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.