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Finding the Fourth Proportional to 492.11, 737.27 and 286.34

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Solution

The fourth proportional to 492.11, 737.27 and 286.34 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.11 : 737.27 = 286.34 : x
  2. Step 2: Convert to fraction form
    492.11/737.27 = 286.34/x
  3. Step 3: Cross multiply
    492.11x = 737.27 × 286.34
  4. Step 4: Simplify right side
    492.11x = 211,105.85
  5. Step 5: Solve for x
    x = 211,105.85/492.11
  6. Step 6: Final answer
    x = 428.98

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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.