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Finding the Fourth Proportional to 490.77, 736.35 and 216.67

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Solution

The fourth proportional to 490.77, 736.35 and 216.67 is: 325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 736.35 = 216.67 : x
  2. Step 2: Convert to fraction form
    490.77/736.35 = 216.67/x
  3. Step 3: Cross multiply
    490.77x = 736.35 × 216.67
  4. Step 4: Simplify right side
    490.77x = 159,545.87
  5. Step 5: Solve for x
    x = 159,545.87/490.77
  6. Step 6: Final answer
    x = 325.09

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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.