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Finding the Fourth Proportional to 414.81, 571.68 and 332.19

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Solution

The fourth proportional to 414.81, 571.68 and 332.19 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.81 : 571.68 = 332.19 : x
  2. Step 2: Convert to fraction form
    414.81/571.68 = 332.19/x
  3. Step 3: Cross multiply
    414.81x = 571.68 × 332.19
  4. Step 4: Simplify right side
    414.81x = 189,906.38
  5. Step 5: Solve for x
    x = 189,906.38/414.81
  6. Step 6: Final answer
    x = 457.82

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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.