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Finding the Fourth Proportional to 115.45, 172.51 and 111.42

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Solution

The fourth proportional to 115.45, 172.51 and 111.42 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.45 : 172.51 = 111.42 : x
  2. Step 2: Convert to fraction form
    115.45/172.51 = 111.42/x
  3. Step 3: Cross multiply
    115.45x = 172.51 × 111.42
  4. Step 4: Simplify right side
    115.45x = 19,220.59
  5. Step 5: Solve for x
    x = 19,220.59/115.45
  6. Step 6: Final answer
    x = 166.48

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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.