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Finding the Fourth Proportional to 230.67, 346.00 and 76.60

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Solution

The fourth proportional to 230.67, 346.00 and 76.60 is: 114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 346.00 = 76.60 : x
  2. Step 2: Convert to fraction form
    230.67/346.00 = 76.60/x
  3. Step 3: Cross multiply
    230.67x = 346.00 × 76.60
  4. Step 4: Simplify right side
    230.67x = 26,504.42
  5. Step 5: Solve for x
    x = 26,504.42/230.67
  6. Step 6: Final answer
    x = 114.90

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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.