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Finding the Fourth Proportional to 148.05, 203.94 and 140.76

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Solution

The fourth proportional to 148.05, 203.94 and 140.76 is: 193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 203.94 = 140.76 : x
  2. Step 2: Convert to fraction form
    148.05/203.94 = 140.76/x
  3. Step 3: Cross multiply
    148.05x = 203.94 × 140.76
  4. Step 4: Simplify right side
    148.05x = 28,706.59
  5. Step 5: Solve for x
    x = 28,706.59/148.05
  6. Step 6: Final answer
    x = 193.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.