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Finding the Fourth Proportional to 234.72, 323.25 and 188.96

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Solution

The fourth proportional to 234.72, 323.25 and 188.96 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 323.25 = 188.96 : x
  2. Step 2: Convert to fraction form
    234.72/323.25 = 188.96/x
  3. Step 3: Cross multiply
    234.72x = 323.25 × 188.96
  4. Step 4: Simplify right side
    234.72x = 61,081.32
  5. Step 5: Solve for x
    x = 61,081.32/234.72
  6. Step 6: Final answer
    x = 260.23

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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.