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Finding the Fourth Proportional to 168.67, 253.01 and 46.92

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Solution

The fourth proportional to 168.67, 253.01 and 46.92 is: 70.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 253.01 = 46.92 : x
  2. Step 2: Convert to fraction form
    168.67/253.01 = 46.92/x
  3. Step 3: Cross multiply
    168.67x = 253.01 × 46.92
  4. Step 4: Simplify right side
    168.67x = 11,871.23
  5. Step 5: Solve for x
    x = 11,871.23/168.67
  6. Step 6: Final answer
    x = 70.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.