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Finding the Fourth Proportional to 315.09, 471.42 and 227.88

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Solution

The fourth proportional to 315.09, 471.42 and 227.88 is: 340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 471.42 = 227.88 : x
  2. Step 2: Convert to fraction form
    315.09/471.42 = 227.88/x
  3. Step 3: Cross multiply
    315.09x = 471.42 × 227.88
  4. Step 4: Simplify right side
    315.09x = 107,427.19
  5. Step 5: Solve for x
    x = 107,427.19/315.09
  6. Step 6: Final answer
    x = 340.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.