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Finding the Fourth Proportional to 234.66, 322.05 and 212.79

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Solution

The fourth proportional to 234.66, 322.05 and 212.79 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 322.05 = 212.79 : x
  2. Step 2: Convert to fraction form
    234.66/322.05 = 212.79/x
  3. Step 3: Cross multiply
    234.66x = 322.05 × 212.79
  4. Step 4: Simplify right side
    234.66x = 68,529.02
  5. Step 5: Solve for x
    x = 68,529.02/234.66
  6. Step 6: Final answer
    x = 292.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.