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Finding the Fourth Proportional to 509.21, 763.99 and 200.90

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Solution

The fourth proportional to 509.21, 763.99 and 200.90 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.21 : 763.99 = 200.90 : x
  2. Step 2: Convert to fraction form
    509.21/763.99 = 200.90/x
  3. Step 3: Cross multiply
    509.21x = 763.99 × 200.90
  4. Step 4: Simplify right side
    509.21x = 153,485.59
  5. Step 5: Solve for x
    x = 153,485.59/509.21
  6. Step 6: Final answer
    x = 301.42

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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.