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Finding the Fourth Proportional to 2,202.81, 3,304.01 and 816.16

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Solution

The fourth proportional to 2,202.81, 3,304.01 and 816.16 is: 1,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.81 : 3,304.01 = 816.16 : x
  2. Step 2: Convert to fraction form
    2,202.81/3,304.01 = 816.16/x
  3. Step 3: Cross multiply
    2,202.81x = 3,304.01 × 816.16
  4. Step 4: Simplify right side
    2,202.81x = 2,696,600.80
  5. Step 5: Solve for x
    x = 2,696,600.80/2,202.81
  6. Step 6: Final answer
    x = 1,224.16

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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.