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Finding the Fourth Proportional to 230.68, 344.24 and 190.18

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Solution

The fourth proportional to 230.68, 344.24 and 190.18 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 344.24 = 190.18 : x
  2. Step 2: Convert to fraction form
    230.68/344.24 = 190.18/x
  3. Step 3: Cross multiply
    230.68x = 344.24 × 190.18
  4. Step 4: Simplify right side
    230.68x = 65,468.29
  5. Step 5: Solve for x
    x = 65,468.29/230.68
  6. Step 6: Final answer
    x = 283.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.