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Finding the Fourth Proportional to 202.55, 279.23 and 140.27

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Solution

The fourth proportional to 202.55, 279.23 and 140.27 is: 193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 279.23 = 140.27 : x
  2. Step 2: Convert to fraction form
    202.55/279.23 = 140.27/x
  3. Step 3: Cross multiply
    202.55x = 279.23 × 140.27
  4. Step 4: Simplify right side
    202.55x = 39,165.49
  5. Step 5: Solve for x
    x = 39,165.49/202.55
  6. Step 6: Final answer
    x = 193.37

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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.