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Finding the Fourth Proportional to 234.69, 323.90 and 157.06

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Solution

The fourth proportional to 234.69, 323.90 and 157.06 is: 216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 323.90 = 157.06 : x
  2. Step 2: Convert to fraction form
    234.69/323.90 = 157.06/x
  3. Step 3: Cross multiply
    234.69x = 323.90 × 157.06
  4. Step 4: Simplify right side
    234.69x = 50,871.73
  5. Step 5: Solve for x
    x = 50,871.73/234.69
  6. Step 6: Final answer
    x = 216.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.