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Finding the Fourth Proportional to 208.83, 288.12 and 167.49

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Solution

The fourth proportional to 208.83, 288.12 and 167.49 is: 231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 288.12 = 167.49 : x
  2. Step 2: Convert to fraction form
    208.83/288.12 = 167.49/x
  3. Step 3: Cross multiply
    208.83x = 288.12 × 167.49
  4. Step 4: Simplify right side
    208.83x = 48,257.22
  5. Step 5: Solve for x
    x = 48,257.22/208.83
  6. Step 6: Final answer
    x = 231.08

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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.