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Finding the Fourth Proportional to 234.46, 323.56 and 136.22

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Solution

The fourth proportional to 234.46, 323.56 and 136.22 is: 187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 323.56 = 136.22 : x
  2. Step 2: Convert to fraction form
    234.46/323.56 = 136.22/x
  3. Step 3: Cross multiply
    234.46x = 323.56 × 136.22
  4. Step 4: Simplify right side
    234.46x = 44,075.34
  5. Step 5: Solve for x
    x = 44,075.34/234.46
  6. Step 6: Final answer
    x = 187.99

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