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Finding the Fourth Proportional to 801.44, 1,202.24 and 224.31

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Solution

The fourth proportional to 801.44, 1,202.24 and 224.31 is: 336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.44 : 1,202.24 = 224.31 : x
  2. Step 2: Convert to fraction form
    801.44/1,202.24 = 224.31/x
  3. Step 3: Cross multiply
    801.44x = 1,202.24 × 224.31
  4. Step 4: Simplify right side
    801.44x = 269,674.45
  5. Step 5: Solve for x
    x = 269,674.45/801.44
  6. Step 6: Final answer
    x = 336.49

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Half scale
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Double scale
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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.