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Finding the Fourth Proportional to 508.46, 762.66 and 219.86

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Solution

The fourth proportional to 508.46, 762.66 and 219.86 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.46 : 762.66 = 219.86 : x
  2. Step 2: Convert to fraction form
    508.46/762.66 = 219.86/x
  3. Step 3: Cross multiply
    508.46x = 762.66 × 219.86
  4. Step 4: Simplify right side
    508.46x = 167,678.43
  5. Step 5: Solve for x
    x = 167,678.43/508.46
  6. Step 6: Final answer
    x = 329.78

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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.