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Finding the Fourth Proportional to 509.02, 763.37 and 200.80

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Solution

The fourth proportional to 509.02, 763.37 and 200.80 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 763.37 = 200.80 : x
  2. Step 2: Convert to fraction form
    509.02/763.37 = 200.80/x
  3. Step 3: Cross multiply
    509.02x = 763.37 × 200.80
  4. Step 4: Simplify right side
    509.02x = 153,284.70
  5. Step 5: Solve for x
    x = 153,284.70/509.02
  6. Step 6: Final answer
    x = 301.14

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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.