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Finding the Fourth Proportional to 325.80, 449.54 and 227.40

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Solution

The fourth proportional to 325.80, 449.54 and 227.40 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 449.54 = 227.40 : x
  2. Step 2: Convert to fraction form
    325.80/449.54 = 227.40/x
  3. Step 3: Cross multiply
    325.80x = 449.54 × 227.40
  4. Step 4: Simplify right side
    325.80x = 102,225.40
  5. Step 5: Solve for x
    x = 102,225.40/325.80
  6. Step 6: Final answer
    x = 313.77

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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.