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Finding the Fourth Proportional to 148.50, 222.78 and 80.12

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Solution

The fourth proportional to 148.50, 222.78 and 80.12 is: 120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 222.78 = 80.12 : x
  2. Step 2: Convert to fraction form
    148.50/222.78 = 80.12/x
  3. Step 3: Cross multiply
    148.50x = 222.78 × 80.12
  4. Step 4: Simplify right side
    148.50x = 17,848.02
  5. Step 5: Solve for x
    x = 17,848.02/148.50
  6. Step 6: Final answer
    x = 120.19

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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.