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Finding the Fourth Proportional to 300.57, 414.86 and 202.29

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Solution

The fourth proportional to 300.57, 414.86 and 202.29 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 414.86 = 202.29 : x
  2. Step 2: Convert to fraction form
    300.57/414.86 = 202.29/x
  3. Step 3: Cross multiply
    300.57x = 414.86 × 202.29
  4. Step 4: Simplify right side
    300.57x = 83,922.03
  5. Step 5: Solve for x
    x = 83,922.03/300.57
  6. Step 6: Final answer
    x = 279.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.