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Finding the Fourth Proportional to 383.35, 529.11 and 226

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Solution

The fourth proportional to 383.35, 529.11 and 226 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.35 : 529.11 = 226 : x
  2. Step 2: Convert to fraction form
    383.35/529.11 = 226/x
  3. Step 3: Cross multiply
    383.35x = 529.11 × 226
  4. Step 4: Simplify right side
    383.35x = 119,578.86
  5. Step 5: Solve for x
    x = 119,578.86/383.35
  6. Step 6: Final answer
    x = 311.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.