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Finding the Fourth Proportional to 490.92, 735.82 and 202

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Solution

The fourth proportional to 490.92, 735.82 and 202 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 735.82 = 202 : x
  2. Step 2: Convert to fraction form
    490.92/735.82 = 202/x
  3. Step 3: Cross multiply
    490.92x = 735.82 × 202
  4. Step 4: Simplify right side
    490.92x = 148,635.64
  5. Step 5: Solve for x
    x = 148,635.64/490.92
  6. Step 6: Final answer
    x = 302.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.