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Finding the Fourth Proportional to 490.51, 735.49 and 216.46

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Solution

The fourth proportional to 490.51, 735.49 and 216.46 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.51 : 735.49 = 216.46 : x
  2. Step 2: Convert to fraction form
    490.51/735.49 = 216.46/x
  3. Step 3: Cross multiply
    490.51x = 735.49 × 216.46
  4. Step 4: Simplify right side
    490.51x = 159,204.17
  5. Step 5: Solve for x
    x = 159,204.17/490.51
  6. Step 6: Final answer
    x = 324.57

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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.