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Finding the Fourth Proportional to 152.21, 209.86 and 122.73

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Solution

The fourth proportional to 152.21, 209.86 and 122.73 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.21 : 209.86 = 122.73 : x
  2. Step 2: Convert to fraction form
    152.21/209.86 = 122.73/x
  3. Step 3: Cross multiply
    152.21x = 209.86 × 122.73
  4. Step 4: Simplify right side
    152.21x = 25,755.81
  5. Step 5: Solve for x
    x = 25,755.81/152.21
  6. Step 6: Final answer
    x = 169.22

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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.