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Finding the Fourth Proportional to 167.21, 249.50 and 148.94

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Solution

The fourth proportional to 167.21, 249.50 and 148.94 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.21 : 249.50 = 148.94 : x
  2. Step 2: Convert to fraction form
    167.21/249.50 = 148.94/x
  3. Step 3: Cross multiply
    167.21x = 249.50 × 148.94
  4. Step 4: Simplify right side
    167.21x = 37,160.16
  5. Step 5: Solve for x
    x = 37,160.16/167.21
  6. Step 6: Final answer
    x = 222.24

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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.