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Finding the Fourth Proportional to 148.57, 221.88 and 126.67

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Solution

The fourth proportional to 148.57, 221.88 and 126.67 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 221.88 = 126.67 : x
  2. Step 2: Convert to fraction form
    148.57/221.88 = 126.67/x
  3. Step 3: Cross multiply
    148.57x = 221.88 × 126.67
  4. Step 4: Simplify right side
    148.57x = 28,105.54
  5. Step 5: Solve for x
    x = 28,105.54/148.57
  6. Step 6: Final answer
    x = 189.17

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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.