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Finding the Fourth Proportional to 234.04, 353.61 and 231.81

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Solution

The fourth proportional to 234.04, 353.61 and 231.81 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 353.61 = 231.81 : x
  2. Step 2: Convert to fraction form
    234.04/353.61 = 231.81/x
  3. Step 3: Cross multiply
    234.04x = 353.61 × 231.81
  4. Step 4: Simplify right side
    234.04x = 81,970.33
  5. Step 5: Solve for x
    x = 81,970.33/234.04
  6. Step 6: Final answer
    x = 350.25

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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.