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Finding the Fourth Proportional to 509.50, 763.86 and 201.19

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Solution

The fourth proportional to 509.50, 763.86 and 201.19 is: 301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 763.86 = 201.19 : x
  2. Step 2: Convert to fraction form
    509.50/763.86 = 201.19/x
  3. Step 3: Cross multiply
    509.50x = 763.86 × 201.19
  4. Step 4: Simplify right side
    509.50x = 153,680.99
  5. Step 5: Solve for x
    x = 153,680.99/509.50
  6. Step 6: Final answer
    x = 301.63

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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.