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Finding the Fourth Proportional to 169.04, 254.55 and 121.28

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Solution

The fourth proportional to 169.04, 254.55 and 121.28 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 254.55 = 121.28 : x
  2. Step 2: Convert to fraction form
    169.04/254.55 = 121.28/x
  3. Step 3: Cross multiply
    169.04x = 254.55 × 121.28
  4. Step 4: Simplify right side
    169.04x = 30,871.82
  5. Step 5: Solve for x
    x = 30,871.82/169.04
  6. Step 6: Final answer
    x = 182.63

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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.