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Finding the Fourth Proportional to 391.27, 588.78 and 322.35

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Solution

The fourth proportional to 391.27, 588.78 and 322.35 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.27 : 588.78 = 322.35 : x
  2. Step 2: Convert to fraction form
    391.27/588.78 = 322.35/x
  3. Step 3: Cross multiply
    391.27x = 588.78 × 322.35
  4. Step 4: Simplify right side
    391.27x = 189,793.43
  5. Step 5: Solve for x
    x = 189,793.43/391.27
  6. Step 6: Final answer
    x = 485.07

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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.