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Finding the Fourth Proportional to 486.11, 729.54 and 356.46

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Solution

The fourth proportional to 486.11, 729.54 and 356.46 is: 534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 729.54 = 356.46 : x
  2. Step 2: Convert to fraction form
    486.11/729.54 = 356.46/x
  3. Step 3: Cross multiply
    486.11x = 729.54 × 356.46
  4. Step 4: Simplify right side
    486.11x = 260,049.09
  5. Step 5: Solve for x
    x = 260,049.09/486.11
  6. Step 6: Final answer
    x = 534.96

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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.