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Finding the Fourth Proportional to 168.51, 251.30 and 149.84

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Solution

The fourth proportional to 168.51, 251.30 and 149.84 is: 223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.51 : 251.30 = 149.84 : x
  2. Step 2: Convert to fraction form
    168.51/251.30 = 149.84/x
  3. Step 3: Cross multiply
    168.51x = 251.30 × 149.84
  4. Step 4: Simplify right side
    168.51x = 37,654.76
  5. Step 5: Solve for x
    x = 37,654.76/168.51
  6. Step 6: Final answer
    x = 223.46

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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.