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Finding the Fourth Proportional to 115.11, 172.34 and 104.31

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Solution

The fourth proportional to 115.11, 172.34 and 104.31 is: 156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.11 : 172.34 = 104.31 : x
  2. Step 2: Convert to fraction form
    115.11/172.34 = 104.31/x
  3. Step 3: Cross multiply
    115.11x = 172.34 × 104.31
  4. Step 4: Simplify right side
    115.11x = 17,976.79
  5. Step 5: Solve for x
    x = 17,976.79/115.11
  6. Step 6: Final answer
    x = 156.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.