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Finding the Fourth Proportional to 227.68, 343.07 and 187.99

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Solution

The fourth proportional to 227.68, 343.07 and 187.99 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 343.07 = 187.99 : x
  2. Step 2: Convert to fraction form
    227.68/343.07 = 187.99/x
  3. Step 3: Cross multiply
    227.68x = 343.07 × 187.99
  4. Step 4: Simplify right side
    227.68x = 64,493.73
  5. Step 5: Solve for x
    x = 64,493.73/227.68
  6. Step 6: Final answer
    x = 283.26

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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.