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Finding the Fourth Proportional to 519.56, 778.80 and 211.28

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Solution

The fourth proportional to 519.56, 778.80 and 211.28 is: 316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 778.80 = 211.28 : x
  2. Step 2: Convert to fraction form
    519.56/778.80 = 211.28/x
  3. Step 3: Cross multiply
    519.56x = 778.80 × 211.28
  4. Step 4: Simplify right side
    519.56x = 164,544.86
  5. Step 5: Solve for x
    x = 164,544.86/519.56
  6. Step 6: Final answer
    x = 316.70

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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.