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Finding the Fourth Proportional to 117.08, 176.62 and 111.38

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Solution

The fourth proportional to 117.08, 176.62 and 111.38 is: 168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.08 : 176.62 = 111.38 : x
  2. Step 2: Convert to fraction form
    117.08/176.62 = 111.38/x
  3. Step 3: Cross multiply
    117.08x = 176.62 × 111.38
  4. Step 4: Simplify right side
    117.08x = 19,671.94
  5. Step 5: Solve for x
    x = 19,671.94/117.08
  6. Step 6: Final answer
    x = 168.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.