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Finding the Fourth Proportional to 227.53, 314.31 and 202.96

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Solution

The fourth proportional to 227.53, 314.31 and 202.96 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.53 : 314.31 = 202.96 : x
  2. Step 2: Convert to fraction form
    227.53/314.31 = 202.96/x
  3. Step 3: Cross multiply
    227.53x = 314.31 × 202.96
  4. Step 4: Simplify right side
    227.53x = 63,792.36
  5. Step 5: Solve for x
    x = 63,792.36/227.53
  6. Step 6: Final answer
    x = 280.37

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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.