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Finding the Fourth Proportional to 230.72, 344.38 and 206.36

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Solution

The fourth proportional to 230.72, 344.38 and 206.36 is: 308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 344.38 = 206.36 : x
  2. Step 2: Convert to fraction form
    230.72/344.38 = 206.36/x
  3. Step 3: Cross multiply
    230.72x = 344.38 × 206.36
  4. Step 4: Simplify right side
    230.72x = 71,066.26
  5. Step 5: Solve for x
    x = 71,066.26/230.72
  6. Step 6: Final answer
    x = 308.02

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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.