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Finding the Fourth Proportional to 303.26, 418.23 and 205.15

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Solution

The fourth proportional to 303.26, 418.23 and 205.15 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.26 : 418.23 = 205.15 : x
  2. Step 2: Convert to fraction form
    303.26/418.23 = 205.15/x
  3. Step 3: Cross multiply
    303.26x = 418.23 × 205.15
  4. Step 4: Simplify right side
    303.26x = 85,798.84
  5. Step 5: Solve for x
    x = 85,798.84/303.26
  6. Step 6: Final answer
    x = 282.93

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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.