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Finding the Fourth Proportional to 490.14, 735.44 and 307.43

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Solution

The fourth proportional to 490.14, 735.44 and 307.43 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 735.44 = 307.43 : x
  2. Step 2: Convert to fraction form
    490.14/735.44 = 307.43/x
  3. Step 3: Cross multiply
    490.14x = 735.44 × 307.43
  4. Step 4: Simplify right side
    490.14x = 226,091.10
  5. Step 5: Solve for x
    x = 226,091.10/490.14
  6. Step 6: Final answer
    x = 461.28

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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.