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Finding the Fourth Proportional to 202.59, 277.10 and 199.41

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Solution

The fourth proportional to 202.59, 277.10 and 199.41 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 277.10 = 199.41 : x
  2. Step 2: Convert to fraction form
    202.59/277.10 = 199.41/x
  3. Step 3: Cross multiply
    202.59x = 277.10 × 199.41
  4. Step 4: Simplify right side
    202.59x = 55,256.51
  5. Step 5: Solve for x
    x = 55,256.51/202.59
  6. Step 6: Final answer
    x = 272.75

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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.