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Finding the Fourth Proportional to 172.97, 237.82 and 154.12

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Solution

The fourth proportional to 172.97, 237.82 and 154.12 is: 211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 237.82 = 154.12 : x
  2. Step 2: Convert to fraction form
    172.97/237.82 = 154.12/x
  3. Step 3: Cross multiply
    172.97x = 237.82 × 154.12
  4. Step 4: Simplify right side
    172.97x = 36,652.82
  5. Step 5: Solve for x
    x = 36,652.82/172.97
  6. Step 6: Final answer
    x = 211.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.