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Finding the Fourth Proportional to 619.50, 929.22 and 208.52

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Solution

The fourth proportional to 619.50, 929.22 and 208.52 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.50 : 929.22 = 208.52 : x
  2. Step 2: Convert to fraction form
    619.50/929.22 = 208.52/x
  3. Step 3: Cross multiply
    619.50x = 929.22 × 208.52
  4. Step 4: Simplify right side
    619.50x = 193,765.41
  5. Step 5: Solve for x
    x = 193,765.41/619.50
  6. Step 6: Final answer
    x = 312.78

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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.