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Finding the Fourth Proportional to 280.68, 421.83 and 227.22

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Solution

The fourth proportional to 280.68, 421.83 and 227.22 is: 341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.68 : 421.83 = 227.22 : x
  2. Step 2: Convert to fraction form
    280.68/421.83 = 227.22/x
  3. Step 3: Cross multiply
    280.68x = 421.83 × 227.22
  4. Step 4: Simplify right side
    280.68x = 95,848.21
  5. Step 5: Solve for x
    x = 95,848.21/280.68
  6. Step 6: Final answer
    x = 341.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.