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Finding the Fourth Proportional to 148.97, 205.45 and 102.27

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Solution

The fourth proportional to 148.97, 205.45 and 102.27 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 205.45 = 102.27 : x
  2. Step 2: Convert to fraction form
    148.97/205.45 = 102.27/x
  3. Step 3: Cross multiply
    148.97x = 205.45 × 102.27
  4. Step 4: Simplify right side
    148.97x = 21,011.02
  5. Step 5: Solve for x
    x = 21,011.02/148.97
  6. Step 6: Final answer
    x = 141.04

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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.