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Finding the Fourth Proportional to 305.14, 420.60 and 249.78

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Solution

The fourth proportional to 305.14, 420.60 and 249.78 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 420.60 = 249.78 : x
  2. Step 2: Convert to fraction form
    305.14/420.60 = 249.78/x
  3. Step 3: Cross multiply
    305.14x = 420.60 × 249.78
  4. Step 4: Simplify right side
    305.14x = 105,057.47
  5. Step 5: Solve for x
    x = 105,057.47/305.14
  6. Step 6: Final answer
    x = 344.29

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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.