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Finding the Fourth Proportional to 115.89, 172.73 and 110.81

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Solution

The fourth proportional to 115.89, 172.73 and 110.81 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.89 : 172.73 = 110.81 : x
  2. Step 2: Convert to fraction form
    115.89/172.73 = 110.81/x
  3. Step 3: Cross multiply
    115.89x = 172.73 × 110.81
  4. Step 4: Simplify right side
    115.89x = 19,140.21
  5. Step 5: Solve for x
    x = 19,140.21/115.89
  6. Step 6: Final answer
    x = 165.16

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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.