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Finding the Fourth Proportional to 115.96, 172.74 and 112.08

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Solution

The fourth proportional to 115.96, 172.74 and 112.08 is: 166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 172.74 = 112.08 : x
  2. Step 2: Convert to fraction form
    115.96/172.74 = 112.08/x
  3. Step 3: Cross multiply
    115.96x = 172.74 × 112.08
  4. Step 4: Simplify right side
    115.96x = 19,360.70
  5. Step 5: Solve for x
    x = 19,360.70/115.96
  6. Step 6: Final answer
    x = 166.96

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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.