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Finding the Fourth Proportional to 117.83, 175.81 and 115.09

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Solution

The fourth proportional to 117.83, 175.81 and 115.09 is: 171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.83 : 175.81 = 115.09 : x
  2. Step 2: Convert to fraction form
    117.83/175.81 = 115.09/x
  3. Step 3: Cross multiply
    117.83x = 175.81 × 115.09
  4. Step 4: Simplify right side
    117.83x = 20,233.97
  5. Step 5: Solve for x
    x = 20,233.97/117.83
  6. Step 6: Final answer
    x = 171.72

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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.