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Finding the Fourth Proportional to 303.24, 418.86 and 225.96

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Solution

The fourth proportional to 303.24, 418.86 and 225.96 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 418.86 = 225.96 : x
  2. Step 2: Convert to fraction form
    303.24/418.86 = 225.96/x
  3. Step 3: Cross multiply
    303.24x = 418.86 × 225.96
  4. Step 4: Simplify right side
    303.24x = 94,645.61
  5. Step 5: Solve for x
    x = 94,645.61/303.24
  6. Step 6: Final answer
    x = 312.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.