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Finding the Fourth Proportional to 166.26, 247.68 and 159.26

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Solution

The fourth proportional to 166.26, 247.68 and 159.26 is: 237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 247.68 = 159.26 : x
  2. Step 2: Convert to fraction form
    166.26/247.68 = 159.26/x
  3. Step 3: Cross multiply
    166.26x = 247.68 × 159.26
  4. Step 4: Simplify right side
    166.26x = 39,445.52
  5. Step 5: Solve for x
    x = 39,445.52/166.26
  6. Step 6: Final answer
    x = 237.25

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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.