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Finding the Fourth Proportional to 217.70, 328.17 and 203.59

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Solution

The fourth proportional to 217.70, 328.17 and 203.59 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.70 : 328.17 = 203.59 : x
  2. Step 2: Convert to fraction form
    217.70/328.17 = 203.59/x
  3. Step 3: Cross multiply
    217.70x = 328.17 × 203.59
  4. Step 4: Simplify right side
    217.70x = 66,812.13
  5. Step 5: Solve for x
    x = 66,812.13/217.70
  6. Step 6: Final answer
    x = 306.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.