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Finding the Fourth Proportional to 230.29, 319.44 and 217.99

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Solution

The fourth proportional to 230.29, 319.44 and 217.99 is: 302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.29 : 319.44 = 217.99 : x
  2. Step 2: Convert to fraction form
    230.29/319.44 = 217.99/x
  3. Step 3: Cross multiply
    230.29x = 319.44 × 217.99
  4. Step 4: Simplify right side
    230.29x = 69,633.13
  5. Step 5: Solve for x
    x = 69,633.13/230.29
  6. Step 6: Final answer
    x = 302.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.