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Finding the Fourth Proportional to 234.65, 350.13 and 211.61

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Solution

The fourth proportional to 234.65, 350.13 and 211.61 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.65 : 350.13 = 211.61 : x
  2. Step 2: Convert to fraction form
    234.65/350.13 = 211.61/x
  3. Step 3: Cross multiply
    234.65x = 350.13 × 211.61
  4. Step 4: Simplify right side
    234.65x = 74,091.01
  5. Step 5: Solve for x
    x = 74,091.01/234.65
  6. Step 6: Final answer
    x = 315.75

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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.