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Finding the Fourth Proportional to 218.06, 300.96 and 208.34

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Solution

The fourth proportional to 218.06, 300.96 and 208.34 is: 287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 300.96 = 208.34 : x
  2. Step 2: Convert to fraction form
    218.06/300.96 = 208.34/x
  3. Step 3: Cross multiply
    218.06x = 300.96 × 208.34
  4. Step 4: Simplify right side
    218.06x = 62,702.01
  5. Step 5: Solve for x
    x = 62,702.01/218.06
  6. Step 6: Final answer
    x = 287.54

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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.