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Finding the Fourth Proportional to 227.49, 341.36 and 119.28

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Solution

The fourth proportional to 227.49, 341.36 and 119.28 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.49 : 341.36 = 119.28 : x
  2. Step 2: Convert to fraction form
    227.49/341.36 = 119.28/x
  3. Step 3: Cross multiply
    227.49x = 341.36 × 119.28
  4. Step 4: Simplify right side
    227.49x = 40,717.42
  5. Step 5: Solve for x
    x = 40,717.42/227.49
  6. Step 6: Final answer
    x = 178.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.