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Finding the Fourth Proportional to 234.70, 324.18 and 175.95

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Solution

The fourth proportional to 234.70, 324.18 and 175.95 is: 243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 324.18 = 175.95 : x
  2. Step 2: Convert to fraction form
    234.70/324.18 = 175.95/x
  3. Step 3: Cross multiply
    234.70x = 324.18 × 175.95
  4. Step 4: Simplify right side
    234.70x = 57,040.03
  5. Step 5: Solve for x
    x = 57,040.03/234.70
  6. Step 6: Final answer
    x = 243.03

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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.