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Finding the Fourth Proportional to 154.07, 212.72 and 121.26

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Solution

The fourth proportional to 154.07, 212.72 and 121.26 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 212.72 = 121.26 : x
  2. Step 2: Convert to fraction form
    154.07/212.72 = 121.26/x
  3. Step 3: Cross multiply
    154.07x = 212.72 × 121.26
  4. Step 4: Simplify right side
    154.07x = 25,794.43
  5. Step 5: Solve for x
    x = 25,794.43/154.07
  6. Step 6: Final answer
    x = 167.42

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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.