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Finding the Fourth Proportional to 273.58, 410.68 and 208.42

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Solution

The fourth proportional to 273.58, 410.68 and 208.42 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 410.68 = 208.42 : x
  2. Step 2: Convert to fraction form
    273.58/410.68 = 208.42/x
  3. Step 3: Cross multiply
    273.58x = 410.68 × 208.42
  4. Step 4: Simplify right side
    273.58x = 85,593.93
  5. Step 5: Solve for x
    x = 85,593.93/273.58
  6. Step 6: Final answer
    x = 312.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.