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Finding the Fourth Proportional to 148.70, 222.06 and 126.80

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Solution

The fourth proportional to 148.70, 222.06 and 126.80 is: 189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.70 : 222.06 = 126.80 : x
  2. Step 2: Convert to fraction form
    148.70/222.06 = 126.80/x
  3. Step 3: Cross multiply
    148.70x = 222.06 × 126.80
  4. Step 4: Simplify right side
    148.70x = 28,157.21
  5. Step 5: Solve for x
    x = 28,157.21/148.70
  6. Step 6: Final answer
    x = 189.36

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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.