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Finding the Fourth Proportional to 234.30, 323.36 and 136.04

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Solution

The fourth proportional to 234.30, 323.36 and 136.04 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 323.36 = 136.04 : x
  2. Step 2: Convert to fraction form
    234.30/323.36 = 136.04/x
  3. Step 3: Cross multiply
    234.30x = 323.36 × 136.04
  4. Step 4: Simplify right side
    234.30x = 43,987.60
  5. Step 5: Solve for x
    x = 43,987.60/234.30
  6. Step 6: Final answer
    x = 187.74

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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.