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Finding the Fourth Proportional to 490.93, 735.76 and 295.81

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Solution

The fourth proportional to 490.93, 735.76 and 295.81 is: 443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.93 : 735.76 = 295.81 : x
  2. Step 2: Convert to fraction form
    490.93/735.76 = 295.81/x
  3. Step 3: Cross multiply
    490.93x = 735.76 × 295.81
  4. Step 4: Simplify right side
    490.93x = 217,645.17
  5. Step 5: Solve for x
    x = 217,645.17/490.93
  6. Step 6: Final answer
    x = 443.33

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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.