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Finding the Fourth Proportional to 490.81, 735.69 and 230.59

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Solution

The fourth proportional to 490.81, 735.69 and 230.59 is: 345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.81 : 735.69 = 230.59 : x
  2. Step 2: Convert to fraction form
    490.81/735.69 = 230.59/x
  3. Step 3: Cross multiply
    490.81x = 735.69 × 230.59
  4. Step 4: Simplify right side
    490.81x = 169,640.92
  5. Step 5: Solve for x
    x = 169,640.92/490.81
  6. Step 6: Final answer
    x = 345.64

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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.