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Finding the Fourth Proportional to 809, 1,213.50 and 201

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Solution

The fourth proportional to 809, 1,213.50 and 201 is: 301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,213.50 = 201 : x
  2. Step 2: Convert to fraction form
    809/1,213.50 = 201/x
  3. Step 3: Cross multiply
    809x = 1,213.50 × 201
  4. Step 4: Simplify right side
    809x = 243,913.50
  5. Step 5: Solve for x
    x = 243,913.50/809
  6. Step 6: Final answer
    x = 301.50

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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.