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Finding the Fourth Proportional to 203.15, 278.89 and 175.48

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Solution

The fourth proportional to 203.15, 278.89 and 175.48 is: 240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.15 : 278.89 = 175.48 : x
  2. Step 2: Convert to fraction form
    203.15/278.89 = 175.48/x
  3. Step 3: Cross multiply
    203.15x = 278.89 × 175.48
  4. Step 4: Simplify right side
    203.15x = 48,939.62
  5. Step 5: Solve for x
    x = 48,939.62/203.15
  6. Step 6: Final answer
    x = 240.90

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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.