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Finding the Fourth Proportional to 117.11, 162.66 and 115.24

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Solution

The fourth proportional to 117.11, 162.66 and 115.24 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.11 : 162.66 = 115.24 : x
  2. Step 2: Convert to fraction form
    117.11/162.66 = 115.24/x
  3. Step 3: Cross multiply
    117.11x = 162.66 × 115.24
  4. Step 4: Simplify right side
    117.11x = 18,745.35
  5. Step 5: Solve for x
    x = 18,745.35/117.11
  6. Step 6: Final answer
    x = 160.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.