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Finding the Fourth Proportional to 201.12, 277.62 and 143.08

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Solution

The fourth proportional to 201.12, 277.62 and 143.08 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 277.62 = 143.08 : x
  2. Step 2: Convert to fraction form
    201.12/277.62 = 143.08/x
  3. Step 3: Cross multiply
    201.12x = 277.62 × 143.08
  4. Step 4: Simplify right side
    201.12x = 39,721.87
  5. Step 5: Solve for x
    x = 39,721.87/201.12
  6. Step 6: Final answer
    x = 197.50

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