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Finding the Fourth Proportional to 115.41, 172.34 and 105.15

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Solution

The fourth proportional to 115.41, 172.34 and 105.15 is: 157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.41 : 172.34 = 105.15 : x
  2. Step 2: Convert to fraction form
    115.41/172.34 = 105.15/x
  3. Step 3: Cross multiply
    115.41x = 172.34 × 105.15
  4. Step 4: Simplify right side
    115.41x = 18,121.55
  5. Step 5: Solve for x
    x = 18,121.55/115.41
  6. Step 6: Final answer
    x = 157.02

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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.