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Finding the Fourth Proportional to 490.77, 736.07 and 216.67

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Solution

The fourth proportional to 490.77, 736.07 and 216.67 is: 324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 736.07 = 216.67 : x
  2. Step 2: Convert to fraction form
    490.77/736.07 = 216.67/x
  3. Step 3: Cross multiply
    490.77x = 736.07 × 216.67
  4. Step 4: Simplify right side
    490.77x = 159,484.29
  5. Step 5: Solve for x
    x = 159,484.29/490.77
  6. Step 6: Final answer
    x = 324.97

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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.