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Finding the Fourth Proportional to 230.95, 345.81 and 128.08

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Solution

The fourth proportional to 230.95, 345.81 and 128.08 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 345.81 = 128.08 : x
  2. Step 2: Convert to fraction form
    230.95/345.81 = 128.08/x
  3. Step 3: Cross multiply
    230.95x = 345.81 × 128.08
  4. Step 4: Simplify right side
    230.95x = 44,289.62
  5. Step 5: Solve for x
    x = 44,289.62/230.95
  6. Step 6: Final answer
    x = 191.78

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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.