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Finding the Fourth Proportional to 304.56, 458.38 and 227.93

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Solution

The fourth proportional to 304.56, 458.38 and 227.93 is: 343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 458.38 = 227.93 : x
  2. Step 2: Convert to fraction form
    304.56/458.38 = 227.93/x
  3. Step 3: Cross multiply
    304.56x = 458.38 × 227.93
  4. Step 4: Simplify right side
    304.56x = 104,478.55
  5. Step 5: Solve for x
    x = 104,478.55/304.56
  6. Step 6: Final answer
    x = 343.05

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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.