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Finding the Fourth Proportional to 232.49, 320.22 and 209.12

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Solution

The fourth proportional to 232.49, 320.22 and 209.12 is: 288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 320.22 = 209.12 : x
  2. Step 2: Convert to fraction form
    232.49/320.22 = 209.12/x
  3. Step 3: Cross multiply
    232.49x = 320.22 × 209.12
  4. Step 4: Simplify right side
    232.49x = 66,962.81
  5. Step 5: Solve for x
    x = 66,962.81/232.49
  6. Step 6: Final answer
    x = 288.02

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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.