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Finding the Fourth Proportional to 148.65, 205.09 and 101.94

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Solution

The fourth proportional to 148.65, 205.09 and 101.94 is: 140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.65 : 205.09 = 101.94 : x
  2. Step 2: Convert to fraction form
    148.65/205.09 = 101.94/x
  3. Step 3: Cross multiply
    148.65x = 205.09 × 101.94
  4. Step 4: Simplify right side
    148.65x = 20,906.87
  5. Step 5: Solve for x
    x = 20,906.87/148.65
  6. Step 6: Final answer
    x = 140.64

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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.