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Finding the Fourth Proportional to 121.58, 166.34 and 121.07

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Solution

The fourth proportional to 121.58, 166.34 and 121.07 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.58 : 166.34 = 121.07 : x
  2. Step 2: Convert to fraction form
    121.58/166.34 = 121.07/x
  3. Step 3: Cross multiply
    121.58x = 166.34 × 121.07
  4. Step 4: Simplify right side
    121.58x = 20,138.78
  5. Step 5: Solve for x
    x = 20,138.78/121.58
  6. Step 6: Final answer
    x = 165.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.