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Finding the Fourth Proportional to 238.18, 355.27 and 199.22

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Solution

The fourth proportional to 238.18, 355.27 and 199.22 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.18 : 355.27 = 199.22 : x
  2. Step 2: Convert to fraction form
    238.18/355.27 = 199.22/x
  3. Step 3: Cross multiply
    238.18x = 355.27 × 199.22
  4. Step 4: Simplify right side
    238.18x = 70,778.33
  5. Step 5: Solve for x
    x = 70,778.33/238.18
  6. Step 6: Final answer
    x = 297.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.