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Finding the Fourth Proportional to 300.70, 414.31 and 202.29

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Solution

The fourth proportional to 300.70, 414.31 and 202.29 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 414.31 = 202.29 : x
  2. Step 2: Convert to fraction form
    300.70/414.31 = 202.29/x
  3. Step 3: Cross multiply
    300.70x = 414.31 × 202.29
  4. Step 4: Simplify right side
    300.70x = 83,808.71
  5. Step 5: Solve for x
    x = 83,808.71/300.70
  6. Step 6: Final answer
    x = 278.71

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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.