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Finding the Fourth Proportional to 217.76, 302.09 and 206.82

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Solution

The fourth proportional to 217.76, 302.09 and 206.82 is: 286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 302.09 = 206.82 : x
  2. Step 2: Convert to fraction form
    217.76/302.09 = 206.82/x
  3. Step 3: Cross multiply
    217.76x = 302.09 × 206.82
  4. Step 4: Simplify right side
    217.76x = 62,477.22
  5. Step 5: Solve for x
    x = 62,477.22/217.76
  6. Step 6: Final answer
    x = 286.92

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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.