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Finding the Fourth Proportional to 230.94, 320.22 and 227.16

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Solution

The fourth proportional to 230.94, 320.22 and 227.16 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.94 : 320.22 = 227.16 : x
  2. Step 2: Convert to fraction form
    230.94/320.22 = 227.16/x
  3. Step 3: Cross multiply
    230.94x = 320.22 × 227.16
  4. Step 4: Simplify right side
    230.94x = 72,741.18
  5. Step 5: Solve for x
    x = 72,741.18/230.94
  6. Step 6: Final answer
    x = 314.98

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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.