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Finding the Fourth Proportional to 230.78, 346.31 and 107.36

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Solution

The fourth proportional to 230.78, 346.31 and 107.36 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 346.31 = 107.36 : x
  2. Step 2: Convert to fraction form
    230.78/346.31 = 107.36/x
  3. Step 3: Cross multiply
    230.78x = 346.31 × 107.36
  4. Step 4: Simplify right side
    230.78x = 37,177.57
  5. Step 5: Solve for x
    x = 37,177.57/230.78
  6. Step 6: Final answer
    x = 161.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.