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Finding the Fourth Proportional to 490.60, 736.01 and 143.94

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Solution

The fourth proportional to 490.60, 736.01 and 143.94 is: 215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 736.01 = 143.94 : x
  2. Step 2: Convert to fraction form
    490.60/736.01 = 143.94/x
  3. Step 3: Cross multiply
    490.60x = 736.01 × 143.94
  4. Step 4: Simplify right side
    490.60x = 105,941.28
  5. Step 5: Solve for x
    x = 105,941.28/490.60
  6. Step 6: Final answer
    x = 215.94

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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.