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Finding the Fourth Proportional to 493.38, 739.80 and 205.02

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Solution

The fourth proportional to 493.38, 739.80 and 205.02 is: 307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 739.80 = 205.02 : x
  2. Step 2: Convert to fraction form
    493.38/739.80 = 205.02/x
  3. Step 3: Cross multiply
    493.38x = 739.80 × 205.02
  4. Step 4: Simplify right side
    493.38x = 151,673.80
  5. Step 5: Solve for x
    x = 151,673.80/493.38
  6. Step 6: Final answer
    x = 307.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.