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Finding the Fourth Proportional to 227.08, 312.72 and 194.32

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Solution

The fourth proportional to 227.08, 312.72 and 194.32 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 312.72 = 194.32 : x
  2. Step 2: Convert to fraction form
    227.08/312.72 = 194.32/x
  3. Step 3: Cross multiply
    227.08x = 312.72 × 194.32
  4. Step 4: Simplify right side
    227.08x = 60,767.75
  5. Step 5: Solve for x
    x = 60,767.75/227.08
  6. Step 6: Final answer
    x = 267.61

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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.