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Finding the Fourth Proportional to 115.66, 172.39 and 109.12

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Solution

The fourth proportional to 115.66, 172.39 and 109.12 is: 162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 172.39 = 109.12 : x
  2. Step 2: Convert to fraction form
    115.66/172.39 = 109.12/x
  3. Step 3: Cross multiply
    115.66x = 172.39 × 109.12
  4. Step 4: Simplify right side
    115.66x = 18,811.20
  5. Step 5: Solve for x
    x = 18,811.20/115.66
  6. Step 6: Final answer
    x = 162.64

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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.