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Finding the Fourth Proportional to 117.28, 174.60 and 115.66

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Solution

The fourth proportional to 117.28, 174.60 and 115.66 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 174.60 = 115.66 : x
  2. Step 2: Convert to fraction form
    117.28/174.60 = 115.66/x
  3. Step 3: Cross multiply
    117.28x = 174.60 × 115.66
  4. Step 4: Simplify right side
    117.28x = 20,194.24
  5. Step 5: Solve for x
    x = 20,194.24/117.28
  6. Step 6: Final answer
    x = 172.19

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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.