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Finding the Fourth Proportional to 588.14, 882.31 and 217.97

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Solution

The fourth proportional to 588.14, 882.31 and 217.97 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.14 : 882.31 = 217.97 : x
  2. Step 2: Convert to fraction form
    588.14/882.31 = 217.97/x
  3. Step 3: Cross multiply
    588.14x = 882.31 × 217.97
  4. Step 4: Simplify right side
    588.14x = 192,317.11
  5. Step 5: Solve for x
    x = 192,317.11/588.14
  6. Step 6: Final answer
    x = 326.99

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1.5x scale

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.