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Finding the Fourth Proportional to 300.64, 414.82 and 202.42

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Solution

The fourth proportional to 300.64, 414.82 and 202.42 is: 279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 414.82 = 202.42 : x
  2. Step 2: Convert to fraction form
    300.64/414.82 = 202.42/x
  3. Step 3: Cross multiply
    300.64x = 414.82 × 202.42
  4. Step 4: Simplify right side
    300.64x = 83,967.86
  5. Step 5: Solve for x
    x = 83,967.86/300.64
  6. Step 6: Final answer
    x = 279.30

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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.