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Finding the Fourth Proportional to 303.93, 457.44 and 227.30

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Solution

The fourth proportional to 303.93, 457.44 and 227.30 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.93 : 457.44 = 227.30 : x
  2. Step 2: Convert to fraction form
    303.93/457.44 = 227.30/x
  3. Step 3: Cross multiply
    303.93x = 457.44 × 227.30
  4. Step 4: Simplify right side
    303.93x = 103,976.11
  5. Step 5: Solve for x
    x = 103,976.11/303.93
  6. Step 6: Final answer
    x = 342.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.