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Finding the Fourth Proportional to 232.02, 349.67 and 218.34

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Solution

The fourth proportional to 232.02, 349.67 and 218.34 is: 329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 349.67 = 218.34 : x
  2. Step 2: Convert to fraction form
    232.02/349.67 = 218.34/x
  3. Step 3: Cross multiply
    232.02x = 349.67 × 218.34
  4. Step 4: Simplify right side
    232.02x = 76,347.49
  5. Step 5: Solve for x
    x = 76,347.49/232.02
  6. Step 6: Final answer
    x = 329.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.