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Finding the Fourth Proportional to 300.59, 414.64 and 202.41

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Solution

The fourth proportional to 300.59, 414.64 and 202.41 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.59 : 414.64 = 202.41 : x
  2. Step 2: Convert to fraction form
    300.59/414.64 = 202.41/x
  3. Step 3: Cross multiply
    300.59x = 414.64 × 202.41
  4. Step 4: Simplify right side
    300.59x = 83,927.28
  5. Step 5: Solve for x
    x = 83,927.28/300.59
  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.