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Finding the Fourth Proportional to 234.57, 323.75 and 146.05

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Solution

The fourth proportional to 234.57, 323.75 and 146.05 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 323.75 = 146.05 : x
  2. Step 2: Convert to fraction form
    234.57/323.75 = 146.05/x
  3. Step 3: Cross multiply
    234.57x = 323.75 × 146.05
  4. Step 4: Simplify right side
    234.57x = 47,284.24
  5. Step 5: Solve for x
    x = 47,284.24/234.57
  6. Step 6: Final answer
    x = 201.58

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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.