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Finding the Fourth Proportional to 232.66, 347.09 and 214.44

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Solution

The fourth proportional to 232.66, 347.09 and 214.44 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 347.09 = 214.44 : x
  2. Step 2: Convert to fraction form
    232.66/347.09 = 214.44/x
  3. Step 3: Cross multiply
    232.66x = 347.09 × 214.44
  4. Step 4: Simplify right side
    232.66x = 74,429.98
  5. Step 5: Solve for x
    x = 74,429.98/232.66
  6. Step 6: Final answer
    x = 319.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.