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Finding the Fourth Proportional to 149.18, 205.34 and 121.37

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Solution

The fourth proportional to 149.18, 205.34 and 121.37 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 205.34 = 121.37 : x
  2. Step 2: Convert to fraction form
    149.18/205.34 = 121.37/x
  3. Step 3: Cross multiply
    149.18x = 205.34 × 121.37
  4. Step 4: Simplify right side
    149.18x = 24,920.48
  5. Step 5: Solve for x
    x = 24,920.48/149.18
  6. Step 6: Final answer
    x = 167.06

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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.