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Finding the Fourth Proportional to 148, 222.36 and 137.44

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Solution

The fourth proportional to 148, 222.36 and 137.44 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 222.36 = 137.44 : x
  2. Step 2: Convert to fraction form
    148/222.36 = 137.44/x
  3. Step 3: Cross multiply
    148x = 222.36 × 137.44
  4. Step 4: Simplify right side
    148x = 30,561.16
  5. Step 5: Solve for x
    x = 30,561.16/148
  6. Step 6: Final answer
    x = 206.49

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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.