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Finding the Fourth Proportional to 321.75, 482.78 and 167.60

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Solution

The fourth proportional to 321.75, 482.78 and 167.60 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 482.78 = 167.60 : x
  2. Step 2: Convert to fraction form
    321.75/482.78 = 167.60/x
  3. Step 3: Cross multiply
    321.75x = 482.78 × 167.60
  4. Step 4: Simplify right side
    321.75x = 80,913.93
  5. Step 5: Solve for x
    x = 80,913.93/321.75
  6. Step 6: Final answer
    x = 251.48

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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.