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Finding the Fourth Proportional to 303.30, 418.01 and 219.26

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Solution

The fourth proportional to 303.30, 418.01 and 219.26 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 418.01 = 219.26 : x
  2. Step 2: Convert to fraction form
    303.30/418.01 = 219.26/x
  3. Step 3: Cross multiply
    303.30x = 418.01 × 219.26
  4. Step 4: Simplify right side
    303.30x = 91,649.69
  5. Step 5: Solve for x
    x = 91,649.69/303.30
  6. Step 6: Final answer
    x = 302.18

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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.