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Finding the Fourth Proportional to 492.95, 739.49 and 200.46

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Solution

The fourth proportional to 492.95, 739.49 and 200.46 is: 300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 739.49 = 200.46 : x
  2. Step 2: Convert to fraction form
    492.95/739.49 = 200.46/x
  3. Step 3: Cross multiply
    492.95x = 739.49 × 200.46
  4. Step 4: Simplify right side
    492.95x = 148,238.17
  5. Step 5: Solve for x
    x = 148,238.17/492.95
  6. Step 6: Final answer
    x = 300.72

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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.