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Finding the Fourth Proportional to 208.08, 285.46 and 202.39

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Solution

The fourth proportional to 208.08, 285.46 and 202.39 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 285.46 = 202.39 : x
  2. Step 2: Convert to fraction form
    208.08/285.46 = 202.39/x
  3. Step 3: Cross multiply
    208.08x = 285.46 × 202.39
  4. Step 4: Simplify right side
    208.08x = 57,773.03
  5. Step 5: Solve for x
    x = 57,773.03/208.08
  6. Step 6: Final answer
    x = 277.65

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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.