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Finding the Fourth Proportional to 496.83, 745.19 and 131.66

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Solution

The fourth proportional to 496.83, 745.19 and 131.66 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.83 : 745.19 = 131.66 : x
  2. Step 2: Convert to fraction form
    496.83/745.19 = 131.66/x
  3. Step 3: Cross multiply
    496.83x = 745.19 × 131.66
  4. Step 4: Simplify right side
    496.83x = 98,107.33
  5. Step 5: Solve for x
    x = 98,107.33/496.83
  6. Step 6: Final answer
    x = 197.47

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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.