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Finding the Fourth Proportional to 117.15, 160.48 and 115.83

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Solution

The fourth proportional to 117.15, 160.48 and 115.83 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.15 : 160.48 = 115.83 : x
  2. Step 2: Convert to fraction form
    117.15/160.48 = 115.83/x
  3. Step 3: Cross multiply
    117.15x = 160.48 × 115.83
  4. Step 4: Simplify right side
    117.15x = 18,588.54
  5. Step 5: Solve for x
    x = 18,588.54/117.15
  6. Step 6: Final answer
    x = 158.68

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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.