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Finding the Fourth Proportional to 200.19, 275.99 and 197.46

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Solution

The fourth proportional to 200.19, 275.99 and 197.46 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 275.99 = 197.46 : x
  2. Step 2: Convert to fraction form
    200.19/275.99 = 197.46/x
  3. Step 3: Cross multiply
    200.19x = 275.99 × 197.46
  4. Step 4: Simplify right side
    200.19x = 54,496.00
  5. Step 5: Solve for x
    x = 54,496.00/200.19
  6. Step 6: Final answer
    x = 272.22

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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.