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Finding the Fourth Proportional to 490.12, 735.27 and 143.45

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Solution

The fourth proportional to 490.12, 735.27 and 143.45 is: 215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.12 : 735.27 = 143.45 : x
  2. Step 2: Convert to fraction form
    490.12/735.27 = 143.45/x
  3. Step 3: Cross multiply
    490.12x = 735.27 × 143.45
  4. Step 4: Simplify right side
    490.12x = 105,474.48
  5. Step 5: Solve for x
    x = 105,474.48/490.12
  6. Step 6: Final answer
    x = 215.20

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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.