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Finding the Fourth Proportional to 148.15, 222.57 and 140.39

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Solution

The fourth proportional to 148.15, 222.57 and 140.39 is: 210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.15 : 222.57 = 140.39 : x
  2. Step 2: Convert to fraction form
    148.15/222.57 = 140.39/x
  3. Step 3: Cross multiply
    148.15x = 222.57 × 140.39
  4. Step 4: Simplify right side
    148.15x = 31,245.24
  5. Step 5: Solve for x
    x = 31,245.24/148.15
  6. Step 6: Final answer
    x = 210.90

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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.