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Finding the Fourth Proportional to 169.26, 255.18 and 157.50

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Solution

The fourth proportional to 169.26, 255.18 and 157.50 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 255.18 = 157.50 : x
  2. Step 2: Convert to fraction form
    169.26/255.18 = 157.50/x
  3. Step 3: Cross multiply
    169.26x = 255.18 × 157.50
  4. Step 4: Simplify right side
    169.26x = 40,190.85
  5. Step 5: Solve for x
    x = 40,190.85/169.26
  6. Step 6: Final answer
    x = 237.45

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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.