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Finding the Fourth Proportional to 218.09, 300.89 and 197.30

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Solution

The fourth proportional to 218.09, 300.89 and 197.30 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.09 : 300.89 = 197.30 : x
  2. Step 2: Convert to fraction form
    218.09/300.89 = 197.30/x
  3. Step 3: Cross multiply
    218.09x = 300.89 × 197.30
  4. Step 4: Simplify right side
    218.09x = 59,364.59
  5. Step 5: Solve for x
    x = 59,364.59/218.09
  6. Step 6: Final answer
    x = 272.21

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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.