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Finding the Fourth Proportional to 304.92, 420.66 and 227.16

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Solution

The fourth proportional to 304.92, 420.66 and 227.16 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 420.66 = 227.16 : x
  2. Step 2: Convert to fraction form
    304.92/420.66 = 227.16/x
  3. Step 3: Cross multiply
    304.92x = 420.66 × 227.16
  4. Step 4: Simplify right side
    304.92x = 95,557.13
  5. Step 5: Solve for x
    x = 95,557.13/304.92
  6. Step 6: Final answer
    x = 313.38

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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.