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Finding the Fourth Proportional to 169.15, 252.29 and 157.81

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Solution

The fourth proportional to 169.15, 252.29 and 157.81 is: 235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.15 : 252.29 = 157.81 : x
  2. Step 2: Convert to fraction form
    169.15/252.29 = 157.81/x
  3. Step 3: Cross multiply
    169.15x = 252.29 × 157.81
  4. Step 4: Simplify right side
    169.15x = 39,813.88
  5. Step 5: Solve for x
    x = 39,813.88/169.15
  6. Step 6: Final answer
    x = 235.38

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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.