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Finding the Fourth Proportional to 227.59, 339.40 and 202.70

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Solution

The fourth proportional to 227.59, 339.40 and 202.70 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 339.40 = 202.70 : x
  2. Step 2: Convert to fraction form
    227.59/339.40 = 202.70/x
  3. Step 3: Cross multiply
    227.59x = 339.40 × 202.70
  4. Step 4: Simplify right side
    227.59x = 68,796.38
  5. Step 5: Solve for x
    x = 68,796.38/227.59
  6. Step 6: Final answer
    x = 302.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.