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Finding the Fourth Proportional to 426.39, 588.69 and 332.97

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Solution

The fourth proportional to 426.39, 588.69 and 332.97 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.39 : 588.69 = 332.97 : x
  2. Step 2: Convert to fraction form
    426.39/588.69 = 332.97/x
  3. Step 3: Cross multiply
    426.39x = 588.69 × 332.97
  4. Step 4: Simplify right side
    426.39x = 196,016.11
  5. Step 5: Solve for x
    x = 196,016.11/426.39
  6. Step 6: Final answer
    x = 459.71

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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.