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Finding the Fourth Proportional to 148, 222.18 and 83.92

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Solution

The fourth proportional to 148, 222.18 and 83.92 is: 125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 222.18 = 83.92 : x
  2. Step 2: Convert to fraction form
    148/222.18 = 83.92/x
  3. Step 3: Cross multiply
    148x = 222.18 × 83.92
  4. Step 4: Simplify right side
    148x = 18,645.35
  5. Step 5: Solve for x
    x = 18,645.35/148
  6. Step 6: Final answer
    x = 125.98

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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.