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Finding the Fourth Proportional to 636.06, 953.64 and 311.22

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Solution

The fourth proportional to 636.06, 953.64 and 311.22 is: 466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.06 : 953.64 = 311.22 : x
  2. Step 2: Convert to fraction form
    636.06/953.64 = 311.22/x
  3. Step 3: Cross multiply
    636.06x = 953.64 × 311.22
  4. Step 4: Simplify right side
    636.06x = 296,791.84
  5. Step 5: Solve for x
    x = 296,791.84/636.06
  6. Step 6: Final answer
    x = 466.61

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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.