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Finding the Fourth Proportional to 490.20, 735.21 and 143.52

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Solution

The fourth proportional to 490.20, 735.21 and 143.52 is: 215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 735.21 = 143.52 : x
  2. Step 2: Convert to fraction form
    490.20/735.21 = 143.52/x
  3. Step 3: Cross multiply
    490.20x = 735.21 × 143.52
  4. Step 4: Simplify right side
    490.20x = 105,518.41
  5. Step 5: Solve for x
    x = 105,518.41/490.20
  6. Step 6: Final answer
    x = 215.26

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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.