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Finding the Fourth Proportional to 208.82, 288.65 and 164.84

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Solution

The fourth proportional to 208.82, 288.65 and 164.84 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 288.65 = 164.84 : x
  2. Step 2: Convert to fraction form
    208.82/288.65 = 164.84/x
  3. Step 3: Cross multiply
    208.82x = 288.65 × 164.84
  4. Step 4: Simplify right side
    208.82x = 47,580.03
  5. Step 5: Solve for x
    x = 47,580.03/208.82
  6. Step 6: Final answer
    x = 227.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.