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Finding the Fourth Proportional to 208.87, 288.21 and 120.34

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Solution

The fourth proportional to 208.87, 288.21 and 120.34 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 288.21 = 120.34 : x
  2. Step 2: Convert to fraction form
    208.87/288.21 = 120.34/x
  3. Step 3: Cross multiply
    208.87x = 288.21 × 120.34
  4. Step 4: Simplify right side
    208.87x = 34,683.53
  5. Step 5: Solve for x
    x = 34,683.53/208.87
  6. Step 6: Final answer
    x = 166.05

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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.