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Finding the Fourth Proportional to 115.91, 173.12 and 105.06

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Solution

The fourth proportional to 115.91, 173.12 and 105.06 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.91 : 173.12 = 105.06 : x
  2. Step 2: Convert to fraction form
    115.91/173.12 = 105.06/x
  3. Step 3: Cross multiply
    115.91x = 173.12 × 105.06
  4. Step 4: Simplify right side
    115.91x = 18,187.99
  5. Step 5: Solve for x
    x = 18,187.99/115.91
  6. Step 6: Final answer
    x = 156.91

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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.