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Finding the Fourth Proportional to 496.68, 745.20 and 236.76

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Solution

The fourth proportional to 496.68, 745.20 and 236.76 is: 355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 745.20 = 236.76 : x
  2. Step 2: Convert to fraction form
    496.68/745.20 = 236.76/x
  3. Step 3: Cross multiply
    496.68x = 745.20 × 236.76
  4. Step 4: Simplify right side
    496.68x = 176,433.55
  5. Step 5: Solve for x
    x = 176,433.55/496.68
  6. Step 6: Final answer
    x = 355.23

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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.