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Finding the Fourth Proportional to 303.03, 418.01 and 209.61

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Solution

The fourth proportional to 303.03, 418.01 and 209.61 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.03 : 418.01 = 209.61 : x
  2. Step 2: Convert to fraction form
    303.03/418.01 = 209.61/x
  3. Step 3: Cross multiply
    303.03x = 418.01 × 209.61
  4. Step 4: Simplify right side
    303.03x = 87,619.08
  5. Step 5: Solve for x
    x = 87,619.08/303.03
  6. Step 6: Final answer
    x = 289.14

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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.