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Finding the Fourth Proportional to 203.44, 278.99 and 193.72

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Solution

The fourth proportional to 203.44, 278.99 and 193.72 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 278.99 = 193.72 : x
  2. Step 2: Convert to fraction form
    203.44/278.99 = 193.72/x
  3. Step 3: Cross multiply
    203.44x = 278.99 × 193.72
  4. Step 4: Simplify right side
    203.44x = 54,045.94
  5. Step 5: Solve for x
    x = 54,045.94/203.44
  6. Step 6: Final answer
    x = 265.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.