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Finding the Fourth Proportional to 117.23, 174.66 and 115.56

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Solution

The fourth proportional to 117.23, 174.66 and 115.56 is: 172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 174.66 = 115.56 : x
  2. Step 2: Convert to fraction form
    117.23/174.66 = 115.56/x
  3. Step 3: Cross multiply
    117.23x = 174.66 × 115.56
  4. Step 4: Simplify right side
    117.23x = 20,183.28
  5. Step 5: Solve for x
    x = 20,183.28/117.23
  6. Step 6: Final answer
    x = 172.18

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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.