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Finding the Fourth Proportional to 230.20, 344.66 and 190.10

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Solution

The fourth proportional to 230.20, 344.66 and 190.10 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 344.66 = 190.10 : x
  2. Step 2: Convert to fraction form
    230.20/344.66 = 190.10/x
  3. Step 3: Cross multiply
    230.20x = 344.66 × 190.10
  4. Step 4: Simplify right side
    230.20x = 65,519.78
  5. Step 5: Solve for x
    x = 65,519.78/230.20
  6. Step 6: Final answer
    x = 284.62

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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.