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Finding the Fourth Proportional to 200.82, 277.10 and 142.50

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Solution

The fourth proportional to 200.82, 277.10 and 142.50 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.82 : 277.10 = 142.50 : x
  2. Step 2: Convert to fraction form
    200.82/277.10 = 142.50/x
  3. Step 3: Cross multiply
    200.82x = 277.10 × 142.50
  4. Step 4: Simplify right side
    200.82x = 39,486.75
  5. Step 5: Solve for x
    x = 39,486.75/200.82
  6. Step 6: Final answer
    x = 196.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.