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Finding the Fourth Proportional to 200.22, 298.65 and 197.18

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Solution

The fourth proportional to 200.22, 298.65 and 197.18 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 298.65 = 197.18 : x
  2. Step 2: Convert to fraction form
    200.22/298.65 = 197.18/x
  3. Step 3: Cross multiply
    200.22x = 298.65 × 197.18
  4. Step 4: Simplify right side
    200.22x = 58,887.81
  5. Step 5: Solve for x
    x = 58,887.81/200.22
  6. Step 6: Final answer
    x = 294.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.