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Finding the Fourth Proportional to 200.77, 275.40 and 199.04

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Solution

The fourth proportional to 200.77, 275.40 and 199.04 is: 273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.77 : 275.40 = 199.04 : x
  2. Step 2: Convert to fraction form
    200.77/275.40 = 199.04/x
  3. Step 3: Cross multiply
    200.77x = 275.40 × 199.04
  4. Step 4: Simplify right side
    200.77x = 54,814.43
  5. Step 5: Solve for x
    x = 54,814.43/200.77
  6. Step 6: Final answer
    x = 273.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.