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Finding the Fourth Proportional to 493.31, 739.96 and 285.39

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Solution

The fourth proportional to 493.31, 739.96 and 285.39 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.31 : 739.96 = 285.39 : x
  2. Step 2: Convert to fraction form
    493.31/739.96 = 285.39/x
  3. Step 3: Cross multiply
    493.31x = 739.96 × 285.39
  4. Step 4: Simplify right side
    493.31x = 211,179.18
  5. Step 5: Solve for x
    x = 211,179.18/493.31
  6. Step 6: Final answer
    x = 428.08

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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.