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Finding the Fourth Proportional to 168.89, 251.91 and 146.21

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Solution

The fourth proportional to 168.89, 251.91 and 146.21 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.89 : 251.91 = 146.21 : x
  2. Step 2: Convert to fraction form
    168.89/251.91 = 146.21/x
  3. Step 3: Cross multiply
    168.89x = 251.91 × 146.21
  4. Step 4: Simplify right side
    168.89x = 36,830.50
  5. Step 5: Solve for x
    x = 36,830.50/168.89
  6. Step 6: Final answer
    x = 218.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.