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Finding the Fourth Proportional to 301.49, 452.16 and 179.78

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Solution

The fourth proportional to 301.49, 452.16 and 179.78 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.49 : 452.16 = 179.78 : x
  2. Step 2: Convert to fraction form
    301.49/452.16 = 179.78/x
  3. Step 3: Cross multiply
    301.49x = 452.16 × 179.78
  4. Step 4: Simplify right side
    301.49x = 81,288.43
  5. Step 5: Solve for x
    x = 81,288.43/301.49
  6. Step 6: Final answer
    x = 269.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.