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Finding the Fourth Proportional to 226.21, 311.88 and 147.39

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Solution

The fourth proportional to 226.21, 311.88 and 147.39 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 311.88 = 147.39 : x
  2. Step 2: Convert to fraction form
    226.21/311.88 = 147.39/x
  3. Step 3: Cross multiply
    226.21x = 311.88 × 147.39
  4. Step 4: Simplify right side
    226.21x = 45,967.99
  5. Step 5: Solve for x
    x = 45,967.99/226.21
  6. Step 6: Final answer
    x = 203.21

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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.