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Finding the Fourth Proportional to 490.78, 736.24 and 161.76

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Solution

The fourth proportional to 490.78, 736.24 and 161.76 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.78 : 736.24 = 161.76 : x
  2. Step 2: Convert to fraction form
    490.78/736.24 = 161.76/x
  3. Step 3: Cross multiply
    490.78x = 736.24 × 161.76
  4. Step 4: Simplify right side
    490.78x = 119,090.98
  5. Step 5: Solve for x
    x = 119,090.98/490.78
  6. Step 6: Final answer
    x = 242.65

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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.