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Finding the Fourth Proportional to 203.67, 278.65 and 202.81

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Solution

The fourth proportional to 203.67, 278.65 and 202.81 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 278.65 = 202.81 : x
  2. Step 2: Convert to fraction form
    203.67/278.65 = 202.81/x
  3. Step 3: Cross multiply
    203.67x = 278.65 × 202.81
  4. Step 4: Simplify right side
    203.67x = 56,511.80
  5. Step 5: Solve for x
    x = 56,511.80/203.67
  6. Step 6: Final answer
    x = 277.47

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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.