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Finding the Fourth Proportional to 508.26, 762.38 and 219.90

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Solution

The fourth proportional to 508.26, 762.38 and 219.90 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.26 : 762.38 = 219.90 : x
  2. Step 2: Convert to fraction form
    508.26/762.38 = 219.90/x
  3. Step 3: Cross multiply
    508.26x = 762.38 × 219.90
  4. Step 4: Simplify right side
    508.26x = 167,647.36
  5. Step 5: Solve for x
    x = 167,647.36/508.26
  6. Step 6: Final answer
    x = 329.85

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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.