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Finding the Fourth Proportional to 148.46, 203.32 and 140.05

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Solution

The fourth proportional to 148.46, 203.32 and 140.05 is: 191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.46 : 203.32 = 140.05 : x
  2. Step 2: Convert to fraction form
    148.46/203.32 = 140.05/x
  3. Step 3: Cross multiply
    148.46x = 203.32 × 140.05
  4. Step 4: Simplify right side
    148.46x = 28,474.97
  5. Step 5: Solve for x
    x = 28,474.97/148.46
  6. Step 6: Final answer
    x = 191.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.