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Finding the Fourth Proportional to 204.51, 280.59 and 199.34

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Solution

The fourth proportional to 204.51, 280.59 and 199.34 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 280.59 = 199.34 : x
  2. Step 2: Convert to fraction form
    204.51/280.59 = 199.34/x
  3. Step 3: Cross multiply
    204.51x = 280.59 × 199.34
  4. Step 4: Simplify right side
    204.51x = 55,931.41
  5. Step 5: Solve for x
    x = 55,931.41/204.51
  6. Step 6: Final answer
    x = 273.49

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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.