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Finding the Fourth Proportional to 801.21, 1,201.83 and 224.10

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Solution

The fourth proportional to 801.21, 1,201.83 and 224.10 is: 336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.21 : 1,201.83 = 224.10 : x
  2. Step 2: Convert to fraction form
    801.21/1,201.83 = 224.10/x
  3. Step 3: Cross multiply
    801.21x = 1,201.83 × 224.10
  4. Step 4: Simplify right side
    801.21x = 269,330.10
  5. Step 5: Solve for x
    x = 269,330.10/801.21
  6. Step 6: Final answer
    x = 336.15

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Similar ratio
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1.5x scale

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.