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Finding the Fourth Proportional to 488.71, 733.17 and 163.99

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Solution

The fourth proportional to 488.71, 733.17 and 163.99 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.71 : 733.17 = 163.99 : x
  2. Step 2: Convert to fraction form
    488.71/733.17 = 163.99/x
  3. Step 3: Cross multiply
    488.71x = 733.17 × 163.99
  4. Step 4: Simplify right side
    488.71x = 120,232.55
  5. Step 5: Solve for x
    x = 120,232.55/488.71
  6. Step 6: Final answer
    x = 246.02

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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.