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Finding the Fourth Proportional to 208.15, 313.46 and 181.42

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Solution

The fourth proportional to 208.15, 313.46 and 181.42 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 313.46 = 181.42 : x
  2. Step 2: Convert to fraction form
    208.15/313.46 = 181.42/x
  3. Step 3: Cross multiply
    208.15x = 313.46 × 181.42
  4. Step 4: Simplify right side
    208.15x = 56,867.58
  5. Step 5: Solve for x
    x = 56,867.58/208.15
  6. Step 6: Final answer
    x = 273.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.