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Finding the Fourth Proportional to 486.30, 729.34 and 226.14

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Solution

The fourth proportional to 486.30, 729.34 and 226.14 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 729.34 = 226.14 : x
  2. Step 2: Convert to fraction form
    486.30/729.34 = 226.14/x
  3. Step 3: Cross multiply
    486.30x = 729.34 × 226.14
  4. Step 4: Simplify right side
    486.30x = 164,932.95
  5. Step 5: Solve for x
    x = 164,932.95/486.30
  6. Step 6: Final answer
    x = 339.16

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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.