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Finding the Fourth Proportional to 303.52, 418.62 and 225.76

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Solution

The fourth proportional to 303.52, 418.62 and 225.76 is: 311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 418.62 = 225.76 : x
  2. Step 2: Convert to fraction form
    303.52/418.62 = 225.76/x
  3. Step 3: Cross multiply
    303.52x = 418.62 × 225.76
  4. Step 4: Simplify right side
    303.52x = 94,507.65
  5. Step 5: Solve for x
    x = 94,507.65/303.52
  6. Step 6: Final answer
    x = 311.37

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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.