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Finding the Fourth Proportional to 303.35, 418.82 and 214.85

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Solution

The fourth proportional to 303.35, 418.82 and 214.85 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.35 : 418.82 = 214.85 : x
  2. Step 2: Convert to fraction form
    303.35/418.82 = 214.85/x
  3. Step 3: Cross multiply
    303.35x = 418.82 × 214.85
  4. Step 4: Simplify right side
    303.35x = 89,980.31
  5. Step 5: Solve for x
    x = 89,980.31/303.35
  6. Step 6: Final answer
    x = 296.63

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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.