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Finding the Fourth Proportional to 227.82, 313.48 and 220.99

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Solution

The fourth proportional to 227.82, 313.48 and 220.99 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 313.48 = 220.99 : x
  2. Step 2: Convert to fraction form
    227.82/313.48 = 220.99/x
  3. Step 3: Cross multiply
    227.82x = 313.48 × 220.99
  4. Step 4: Simplify right side
    227.82x = 69,274.61
  5. Step 5: Solve for x
    x = 69,274.61/227.82
  6. Step 6: Final answer
    x = 304.08

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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.