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Finding the Fourth Proportional to 200.40, 277.82 and 189.45

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Solution

The fourth proportional to 200.40, 277.82 and 189.45 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 277.82 = 189.45 : x
  2. Step 2: Convert to fraction form
    200.40/277.82 = 189.45/x
  3. Step 3: Cross multiply
    200.40x = 277.82 × 189.45
  4. Step 4: Simplify right side
    200.40x = 52,632.05
  5. Step 5: Solve for x
    x = 52,632.05/200.40
  6. Step 6: Final answer
    x = 262.63

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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.