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Finding the Fourth Proportional to 492.77, 739.50 and 196.32

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Solution

The fourth proportional to 492.77, 739.50 and 196.32 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.77 : 739.50 = 196.32 : x
  2. Step 2: Convert to fraction form
    492.77/739.50 = 196.32/x
  3. Step 3: Cross multiply
    492.77x = 739.50 × 196.32
  4. Step 4: Simplify right side
    492.77x = 145,178.64
  5. Step 5: Solve for x
    x = 145,178.64/492.77
  6. Step 6: Final answer
    x = 294.62

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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.