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Finding the Fourth Proportional to 303.59, 418.97 and 229.78

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Solution

The fourth proportional to 303.59, 418.97 and 229.78 is: 317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.59 : 418.97 = 229.78 : x
  2. Step 2: Convert to fraction form
    303.59/418.97 = 229.78/x
  3. Step 3: Cross multiply
    303.59x = 418.97 × 229.78
  4. Step 4: Simplify right side
    303.59x = 96,270.93
  5. Step 5: Solve for x
    x = 96,270.93/303.59
  6. Step 6: Final answer
    x = 317.11

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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.