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Finding the Fourth Proportional to 230.24, 317.12 and 206.85

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Solution

The fourth proportional to 230.24, 317.12 and 206.85 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 317.12 = 206.85 : x
  2. Step 2: Convert to fraction form
    230.24/317.12 = 206.85/x
  3. Step 3: Cross multiply
    230.24x = 317.12 × 206.85
  4. Step 4: Simplify right side
    230.24x = 65,596.43
  5. Step 5: Solve for x
    x = 65,596.43/230.24
  6. Step 6: Final answer
    x = 284.90

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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.