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Finding the Fourth Proportional to 148.25, 220.81 and 140.54

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Solution

The fourth proportional to 148.25, 220.81 and 140.54 is: 209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.25 : 220.81 = 140.54 : x
  2. Step 2: Convert to fraction form
    148.25/220.81 = 140.54/x
  3. Step 3: Cross multiply
    148.25x = 220.81 × 140.54
  4. Step 4: Simplify right side
    148.25x = 31,032.64
  5. Step 5: Solve for x
    x = 31,032.64/148.25
  6. Step 6: Final answer
    x = 209.33

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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.