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Finding the Fourth Proportional to 489.70, 735.39 and 270.22

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Solution

The fourth proportional to 489.70, 735.39 and 270.22 is: 405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.70 : 735.39 = 270.22 : x
  2. Step 2: Convert to fraction form
    489.70/735.39 = 270.22/x
  3. Step 3: Cross multiply
    489.70x = 735.39 × 270.22
  4. Step 4: Simplify right side
    489.70x = 198,717.09
  5. Step 5: Solve for x
    x = 198,717.09/489.70
  6. Step 6: Final answer
    x = 405.79

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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.