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Finding the Fourth Proportional to 168.26, 253.26 and 148.41

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Solution

The fourth proportional to 168.26, 253.26 and 148.41 is: 223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.26 : 253.26 = 148.41 : x
  2. Step 2: Convert to fraction form
    168.26/253.26 = 148.41/x
  3. Step 3: Cross multiply
    168.26x = 253.26 × 148.41
  4. Step 4: Simplify right side
    168.26x = 37,586.32
  5. Step 5: Solve for x
    x = 37,586.32/168.26
  6. Step 6: Final answer
    x = 223.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.