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Finding the Fourth Proportional to 227.01, 313.56 and 171.93

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Solution

The fourth proportional to 227.01, 313.56 and 171.93 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.01 : 313.56 = 171.93 : x
  2. Step 2: Convert to fraction form
    227.01/313.56 = 171.93/x
  3. Step 3: Cross multiply
    227.01x = 313.56 × 171.93
  4. Step 4: Simplify right side
    227.01x = 53,910.37
  5. Step 5: Solve for x
    x = 53,910.37/227.01
  6. Step 6: Final answer
    x = 237.48

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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.