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Finding the Fourth Proportional to 619.83, 929.65 and 208.97

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Solution

The fourth proportional to 619.83, 929.65 and 208.97 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.83 : 929.65 = 208.97 : x
  2. Step 2: Convert to fraction form
    619.83/929.65 = 208.97/x
  3. Step 3: Cross multiply
    619.83x = 929.65 × 208.97
  4. Step 4: Simplify right side
    619.83x = 194,268.96
  5. Step 5: Solve for x
    x = 194,268.96/619.83
  6. Step 6: Final answer
    x = 313.42

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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.