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Finding the Fourth Proportional to 227.80, 343.51 and 202.60

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Solution

The fourth proportional to 227.80, 343.51 and 202.60 is: 305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.80 : 343.51 = 202.60 : x
  2. Step 2: Convert to fraction form
    227.80/343.51 = 202.60/x
  3. Step 3: Cross multiply
    227.80x = 343.51 × 202.60
  4. Step 4: Simplify right side
    227.80x = 69,595.13
  5. Step 5: Solve for x
    x = 69,595.13/227.80
  6. Step 6: Final answer
    x = 305.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.