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Finding the Fourth Proportional to 115.86, 172.94 and 103.68

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Solution

The fourth proportional to 115.86, 172.94 and 103.68 is: 154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.86 : 172.94 = 103.68 : x
  2. Step 2: Convert to fraction form
    115.86/172.94 = 103.68/x
  3. Step 3: Cross multiply
    115.86x = 172.94 × 103.68
  4. Step 4: Simplify right side
    115.86x = 17,929.90
  5. Step 5: Solve for x
    x = 17,929.90/115.86
  6. Step 6: Final answer
    x = 154.75

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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.