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Finding the Fourth Proportional to 492.50, 738.75 and 167.86

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Solution

The fourth proportional to 492.50, 738.75 and 167.86 is: 251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 738.75 = 167.86 : x
  2. Step 2: Convert to fraction form
    492.50/738.75 = 167.86/x
  3. Step 3: Cross multiply
    492.50x = 738.75 × 167.86
  4. Step 4: Simplify right side
    492.50x = 124,006.58
  5. Step 5: Solve for x
    x = 124,006.58/492.50
  6. Step 6: Final answer
    x = 251.79

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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.