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Finding the Fourth Proportional to 234.56, 323.38 and 175.64

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Solution

The fourth proportional to 234.56, 323.38 and 175.64 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 323.38 = 175.64 : x
  2. Step 2: Convert to fraction form
    234.56/323.38 = 175.64/x
  3. Step 3: Cross multiply
    234.56x = 323.38 × 175.64
  4. Step 4: Simplify right side
    234.56x = 56,796.41
  5. Step 5: Solve for x
    x = 56,796.41/234.56
  6. Step 6: Final answer
    x = 242.14

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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.