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Finding the Fourth Proportional to 115.86, 174.66 and 108.03

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Solution

The fourth proportional to 115.86, 174.66 and 108.03 is: 162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.86 : 174.66 = 108.03 : x
  2. Step 2: Convert to fraction form
    115.86/174.66 = 108.03/x
  3. Step 3: Cross multiply
    115.86x = 174.66 × 108.03
  4. Step 4: Simplify right side
    115.86x = 18,868.52
  5. Step 5: Solve for x
    x = 18,868.52/115.86
  6. Step 6: Final answer
    x = 162.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.