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Finding the Fourth Proportional to 227.48, 313.74 and 174.95

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Solution

The fourth proportional to 227.48, 313.74 and 174.95 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 313.74 = 174.95 : x
  2. Step 2: Convert to fraction form
    227.48/313.74 = 174.95/x
  3. Step 3: Cross multiply
    227.48x = 313.74 × 174.95
  4. Step 4: Simplify right side
    227.48x = 54,887.24
  5. Step 5: Solve for x
    x = 54,887.24/227.48
  6. Step 6: Final answer
    x = 241.29

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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.