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Finding the Fourth Proportional to 490.68, 735.95 and 161.62

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Solution

The fourth proportional to 490.68, 735.95 and 161.62 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 735.95 = 161.62 : x
  2. Step 2: Convert to fraction form
    490.68/735.95 = 161.62/x
  3. Step 3: Cross multiply
    490.68x = 735.95 × 161.62
  4. Step 4: Simplify right side
    490.68x = 118,943.43
  5. Step 5: Solve for x
    x = 118,943.43/490.68
  6. Step 6: Final answer
    x = 242.41

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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.