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Finding the Fourth Proportional to 230.78, 346.00 and 121.09

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Solution

The fourth proportional to 230.78, 346.00 and 121.09 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 346.00 = 121.09 : x
  2. Step 2: Convert to fraction form
    230.78/346.00 = 121.09/x
  3. Step 3: Cross multiply
    230.78x = 346.00 × 121.09
  4. Step 4: Simplify right side
    230.78x = 41,895.97
  5. Step 5: Solve for x
    x = 41,895.97/230.78
  6. Step 6: Final answer
    x = 181.54

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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.