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Finding the Fourth Proportional to 202.90, 277.67 and 200.74

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Solution

The fourth proportional to 202.90, 277.67 and 200.74 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 277.67 = 200.74 : x
  2. Step 2: Convert to fraction form
    202.90/277.67 = 200.74/x
  3. Step 3: Cross multiply
    202.90x = 277.67 × 200.74
  4. Step 4: Simplify right side
    202.90x = 55,739.48
  5. Step 5: Solve for x
    x = 55,739.48/202.90
  6. Step 6: Final answer
    x = 274.71

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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.