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Finding the Fourth Proportional to 230.27, 317.57 and 199.17

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Solution

The fourth proportional to 230.27, 317.57 and 199.17 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.27 : 317.57 = 199.17 : x
  2. Step 2: Convert to fraction form
    230.27/317.57 = 199.17/x
  3. Step 3: Cross multiply
    230.27x = 317.57 × 199.17
  4. Step 4: Simplify right side
    230.27x = 63,249.42
  5. Step 5: Solve for x
    x = 63,249.42/230.27
  6. Step 6: Final answer
    x = 274.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.