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Finding the Fourth Proportional to 217.96, 328.76 and 215.88

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Solution

The fourth proportional to 217.96, 328.76 and 215.88 is: 325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.96 : 328.76 = 215.88 : x
  2. Step 2: Convert to fraction form
    217.96/328.76 = 215.88/x
  3. Step 3: Cross multiply
    217.96x = 328.76 × 215.88
  4. Step 4: Simplify right side
    217.96x = 70,972.71
  5. Step 5: Solve for x
    x = 70,972.71/217.96
  6. Step 6: Final answer
    x = 325.62

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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.