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Finding the Fourth Proportional to 230.17, 319.75 and 227.95

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Solution

The fourth proportional to 230.17, 319.75 and 227.95 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 319.75 = 227.95 : x
  2. Step 2: Convert to fraction form
    230.17/319.75 = 227.95/x
  3. Step 3: Cross multiply
    230.17x = 319.75 × 227.95
  4. Step 4: Simplify right side
    230.17x = 72,887.01
  5. Step 5: Solve for x
    x = 72,887.01/230.17
  6. Step 6: Final answer
    x = 316.67

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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.