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Finding the Fourth Proportional to 200.15, 277.47 and 189.20

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Solution

The fourth proportional to 200.15, 277.47 and 189.20 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 277.47 = 189.20 : x
  2. Step 2: Convert to fraction form
    200.15/277.47 = 189.20/x
  3. Step 3: Cross multiply
    200.15x = 277.47 × 189.20
  4. Step 4: Simplify right side
    200.15x = 52,496.85
  5. Step 5: Solve for x
    x = 52,496.85/200.15
  6. Step 6: Final answer
    x = 262.29

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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.