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Finding the Fourth Proportional to 149.16, 204.96 and 121.46

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Solution

The fourth proportional to 149.16, 204.96 and 121.46 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.16 : 204.96 = 121.46 : x
  2. Step 2: Convert to fraction form
    149.16/204.96 = 121.46/x
  3. Step 3: Cross multiply
    149.16x = 204.96 × 121.46
  4. Step 4: Simplify right side
    149.16x = 24,893.83
  5. Step 5: Solve for x
    x = 24,893.83/149.16
  6. Step 6: Final answer
    x = 166.89

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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.