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Finding the Fourth Proportional to 200.24, 277.50 and 196.60

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Solution

The fourth proportional to 200.24, 277.50 and 196.60 is: 272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 277.50 = 196.60 : x
  2. Step 2: Convert to fraction form
    200.24/277.50 = 196.60/x
  3. Step 3: Cross multiply
    200.24x = 277.50 × 196.60
  4. Step 4: Simplify right side
    200.24x = 54,556.50
  5. Step 5: Solve for x
    x = 54,556.50/200.24
  6. Step 6: Final answer
    x = 272.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.