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Finding the Fourth Proportional to 496.92, 745.47 and 188.85

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Solution

The fourth proportional to 496.92, 745.47 and 188.85 is: 283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 745.47 = 188.85 : x
  2. Step 2: Convert to fraction form
    496.92/745.47 = 188.85/x
  3. Step 3: Cross multiply
    496.92x = 745.47 × 188.85
  4. Step 4: Simplify right side
    496.92x = 140,782.01
  5. Step 5: Solve for x
    x = 140,782.01/496.92
  6. Step 6: Final answer
    x = 283.31

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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.