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Finding the Fourth Proportional to 490.31, 735.64 and 274.04

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Solution

The fourth proportional to 490.31, 735.64 and 274.04 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.31 : 735.64 = 274.04 : x
  2. Step 2: Convert to fraction form
    490.31/735.64 = 274.04/x
  3. Step 3: Cross multiply
    490.31x = 735.64 × 274.04
  4. Step 4: Simplify right side
    490.31x = 201,595.94
  5. Step 5: Solve for x
    x = 201,595.94/490.31
  6. Step 6: Final answer
    x = 411.16

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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.