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Finding the Fourth Proportional to 200.75, 277.08 and 137.82

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Solution

The fourth proportional to 200.75, 277.08 and 137.82 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 277.08 = 137.82 : x
  2. Step 2: Convert to fraction form
    200.75/277.08 = 137.82/x
  3. Step 3: Cross multiply
    200.75x = 277.08 × 137.82
  4. Step 4: Simplify right side
    200.75x = 38,186.13
  5. Step 5: Solve for x
    x = 38,186.13/200.75
  6. Step 6: Final answer
    x = 190.22

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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.