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Finding the Fourth Proportional to 227.08, 313.39 and 133.91

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Solution

The fourth proportional to 227.08, 313.39 and 133.91 is: 184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 313.39 = 133.91 : x
  2. Step 2: Convert to fraction form
    227.08/313.39 = 133.91/x
  3. Step 3: Cross multiply
    227.08x = 313.39 × 133.91
  4. Step 4: Simplify right side
    227.08x = 41,966.05
  5. Step 5: Solve for x
    x = 41,966.05/227.08
  6. Step 6: Final answer
    x = 184.81

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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.