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Finding the Fourth Proportional to 231.49, 318.64 and 209.62

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Solution

The fourth proportional to 231.49, 318.64 and 209.62 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.49 : 318.64 = 209.62 : x
  2. Step 2: Convert to fraction form
    231.49/318.64 = 209.62/x
  3. Step 3: Cross multiply
    231.49x = 318.64 × 209.62
  4. Step 4: Simplify right side
    231.49x = 66,791.20
  5. Step 5: Solve for x
    x = 66,791.20/231.49
  6. Step 6: Final answer
    x = 288.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.