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Finding the Fourth Proportional to 492.26, 737.84 and 261.41

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Solution

The fourth proportional to 492.26, 737.84 and 261.41 is: 391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 737.84 = 261.41 : x
  2. Step 2: Convert to fraction form
    492.26/737.84 = 261.41/x
  3. Step 3: Cross multiply
    492.26x = 737.84 × 261.41
  4. Step 4: Simplify right side
    492.26x = 192,878.75
  5. Step 5: Solve for x
    x = 192,878.75/492.26
  6. Step 6: Final answer
    x = 391.82

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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.