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Finding the Fourth Proportional to 203.30, 278.08 and 202.48

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Solution

The fourth proportional to 203.30, 278.08 and 202.48 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.30 : 278.08 = 202.48 : x
  2. Step 2: Convert to fraction form
    203.30/278.08 = 202.48/x
  3. Step 3: Cross multiply
    203.30x = 278.08 × 202.48
  4. Step 4: Simplify right side
    203.30x = 56,305.64
  5. Step 5: Solve for x
    x = 56,305.64/203.30
  6. Step 6: Final answer
    x = 276.96

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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.