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Finding the Fourth Proportional to 232.84, 321.19 and 207.60

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Solution

The fourth proportional to 232.84, 321.19 and 207.60 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.19 = 207.60 : x
  2. Step 2: Convert to fraction form
    232.84/321.19 = 207.60/x
  3. Step 3: Cross multiply
    232.84x = 321.19 × 207.60
  4. Step 4: Simplify right side
    232.84x = 66,679.04
  5. Step 5: Solve for x
    x = 66,679.04/232.84
  6. Step 6: Final answer
    x = 286.37

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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.