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Finding the Fourth Proportional to 172.68, 258.86 and 111.83

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Solution

The fourth proportional to 172.68, 258.86 and 111.83 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.68 : 258.86 = 111.83 : x
  2. Step 2: Convert to fraction form
    172.68/258.86 = 111.83/x
  3. Step 3: Cross multiply
    172.68x = 258.86 × 111.83
  4. Step 4: Simplify right side
    172.68x = 28,947.30
  5. Step 5: Solve for x
    x = 28,947.30/172.68
  6. Step 6: Final answer
    x = 167.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.