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Finding the Fourth Proportional to 148.46, 221.67 and 127.67

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Solution

The fourth proportional to 148.46, 221.67 and 127.67 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 221.67 = 127.67 : x
  2. Step 2: Convert to fraction form
    148.46/221.67 = 127.67/x
  3. Step 3: Cross multiply
    148.46x = 221.67 × 127.67
  4. Step 4: Simplify right side
    148.46x = 28,299.50
  5. Step 5: Solve for x
    x = 28,299.50/148.46
  6. Step 6: Final answer
    x = 190.63

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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.