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Finding the Fourth Proportional to 115.69, 172.45 and 108

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Solution

The fourth proportional to 115.69, 172.45 and 108 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.69 : 172.45 = 108 : x
  2. Step 2: Convert to fraction form
    115.69/172.45 = 108/x
  3. Step 3: Cross multiply
    115.69x = 172.45 × 108
  4. Step 4: Simplify right side
    115.69x = 18,624.60
  5. Step 5: Solve for x
    x = 18,624.60/115.69
  6. Step 6: Final answer
    x = 160.99

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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.