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Finding the Fourth Proportional to 169.22, 254.81 and 128.99

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Solution

The fourth proportional to 169.22, 254.81 and 128.99 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 254.81 = 128.99 : x
  2. Step 2: Convert to fraction form
    169.22/254.81 = 128.99/x
  3. Step 3: Cross multiply
    169.22x = 254.81 × 128.99
  4. Step 4: Simplify right side
    169.22x = 32,868.90
  5. Step 5: Solve for x
    x = 32,868.90/169.22
  6. Step 6: Final answer
    x = 194.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.