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Finding the Fourth Proportional to 227.12, 342.14 and 193.68

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Solution

The fourth proportional to 227.12, 342.14 and 193.68 is: 291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 342.14 = 193.68 : x
  2. Step 2: Convert to fraction form
    227.12/342.14 = 193.68/x
  3. Step 3: Cross multiply
    227.12x = 342.14 × 193.68
  4. Step 4: Simplify right side
    227.12x = 66,265.68
  5. Step 5: Solve for x
    x = 66,265.68/227.12
  6. Step 6: Final answer
    x = 291.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.