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Finding the Fourth Proportional to 217.92, 302.82 and 215.68

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Solution

The fourth proportional to 217.92, 302.82 and 215.68 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 302.82 = 215.68 : x
  2. Step 2: Convert to fraction form
    217.92/302.82 = 215.68/x
  3. Step 3: Cross multiply
    217.92x = 302.82 × 215.68
  4. Step 4: Simplify right side
    217.92x = 65,312.22
  5. Step 5: Solve for x
    x = 65,312.22/217.92
  6. Step 6: Final answer
    x = 299.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.