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Finding the Fourth Proportional to 234.78, 323.94 and 131.28

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Solution

The fourth proportional to 234.78, 323.94 and 131.28 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 323.94 = 131.28 : x
  2. Step 2: Convert to fraction form
    234.78/323.94 = 131.28/x
  3. Step 3: Cross multiply
    234.78x = 323.94 × 131.28
  4. Step 4: Simplify right side
    234.78x = 42,526.84
  5. Step 5: Solve for x
    x = 42,526.84/234.78
  6. Step 6: Final answer
    x = 181.13

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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.