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Finding the Fourth Proportional to 493.17, 739.79 and 159.65

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Solution

The fourth proportional to 493.17, 739.79 and 159.65 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 739.79 = 159.65 : x
  2. Step 2: Convert to fraction form
    493.17/739.79 = 159.65/x
  3. Step 3: Cross multiply
    493.17x = 739.79 × 159.65
  4. Step 4: Simplify right side
    493.17x = 118,109.85
  5. Step 5: Solve for x
    x = 118,109.85/493.17
  6. Step 6: Final answer
    x = 239.49

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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.