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Finding the Fourth Proportional to 333.82, 503.23 and 311.52

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Solution

The fourth proportional to 333.82, 503.23 and 311.52 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 503.23 = 311.52 : x
  2. Step 2: Convert to fraction form
    333.82/503.23 = 311.52/x
  3. Step 3: Cross multiply
    333.82x = 503.23 × 311.52
  4. Step 4: Simplify right side
    333.82x = 156,765.43
  5. Step 5: Solve for x
    x = 156,765.43/333.82
  6. Step 6: Final answer
    x = 469.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.