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Finding the Fourth Proportional to 115.09, 171.43 and 109.31

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Solution

The fourth proportional to 115.09, 171.43 and 109.31 is: 162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 171.43 = 109.31 : x
  2. Step 2: Convert to fraction form
    115.09/171.43 = 109.31/x
  3. Step 3: Cross multiply
    115.09x = 171.43 × 109.31
  4. Step 4: Simplify right side
    115.09x = 18,739.01
  5. Step 5: Solve for x
    x = 18,739.01/115.09
  6. Step 6: Final answer
    x = 162.82

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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.