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Finding the Fourth Proportional to 156.82, 216.92 and 122.19

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Solution

The fourth proportional to 156.82, 216.92 and 122.19 is: 169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.82 : 216.92 = 122.19 : x
  2. Step 2: Convert to fraction form
    156.82/216.92 = 122.19/x
  3. Step 3: Cross multiply
    156.82x = 216.92 × 122.19
  4. Step 4: Simplify right side
    156.82x = 26,505.76
  5. Step 5: Solve for x
    x = 26,505.76/156.82
  6. Step 6: Final answer
    x = 169.02

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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.