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Finding the Fourth Proportional to 115.77, 172.56 and 109.68

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Solution

The fourth proportional to 115.77, 172.56 and 109.68 is: 163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.77 : 172.56 = 109.68 : x
  2. Step 2: Convert to fraction form
    115.77/172.56 = 109.68/x
  3. Step 3: Cross multiply
    115.77x = 172.56 × 109.68
  4. Step 4: Simplify right side
    115.77x = 18,926.38
  5. Step 5: Solve for x
    x = 18,926.38/115.77
  6. Step 6: Final answer
    x = 163.48

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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.