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Finding the Fourth Proportional to 149.40, 205.92 and 97.56

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Solution

The fourth proportional to 149.40, 205.92 and 97.56 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 205.92 = 97.56 : x
  2. Step 2: Convert to fraction form
    149.40/205.92 = 97.56/x
  3. Step 3: Cross multiply
    149.40x = 205.92 × 97.56
  4. Step 4: Simplify right side
    149.40x = 20,089.56
  5. Step 5: Solve for x
    x = 20,089.56/149.40
  6. Step 6: Final answer
    x = 134.47

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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.