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Finding the Fourth Proportional to 117.68, 160.97 and 115.79

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Solution

The fourth proportional to 117.68, 160.97 and 115.79 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.68 : 160.97 = 115.79 : x
  2. Step 2: Convert to fraction form
    117.68/160.97 = 115.79/x
  3. Step 3: Cross multiply
    117.68x = 160.97 × 115.79
  4. Step 4: Simplify right side
    117.68x = 18,638.54
  5. Step 5: Solve for x
    x = 18,638.54/117.68
  6. Step 6: Final answer
    x = 158.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.