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Finding the Fourth Proportional to 154.37, 212.96 and 121.57

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Solution

The fourth proportional to 154.37, 212.96 and 121.57 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 212.96 = 121.57 : x
  2. Step 2: Convert to fraction form
    154.37/212.96 = 121.57/x
  3. Step 3: Cross multiply
    154.37x = 212.96 × 121.57
  4. Step 4: Simplify right side
    154.37x = 25,889.32
  5. Step 5: Solve for x
    x = 25,889.32/154.37
  6. Step 6: Final answer
    x = 167.71

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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.