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Finding the Fourth Proportional to 208.28, 313.64 and 181.54

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Solution

The fourth proportional to 208.28, 313.64 and 181.54 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.28 : 313.64 = 181.54 : x
  2. Step 2: Convert to fraction form
    208.28/313.64 = 181.54/x
  3. Step 3: Cross multiply
    208.28x = 313.64 × 181.54
  4. Step 4: Simplify right side
    208.28x = 56,938.21
  5. Step 5: Solve for x
    x = 56,938.21/208.28
  6. Step 6: Final answer
    x = 273.37

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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.