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Finding the Fourth Proportional to 230.77, 318.22 and 199.59

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Solution

The fourth proportional to 230.77, 318.22 and 199.59 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 318.22 = 199.59 : x
  2. Step 2: Convert to fraction form
    230.77/318.22 = 199.59/x
  3. Step 3: Cross multiply
    230.77x = 318.22 × 199.59
  4. Step 4: Simplify right side
    230.77x = 63,513.53
  5. Step 5: Solve for x
    x = 63,513.53/230.77
  6. Step 6: Final answer
    x = 275.22

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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.