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Finding the Fourth Proportional to 201.68, 277.80 and 188.24

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Solution

The fourth proportional to 201.68, 277.80 and 188.24 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 277.80 = 188.24 : x
  2. Step 2: Convert to fraction form
    201.68/277.80 = 188.24/x
  3. Step 3: Cross multiply
    201.68x = 277.80 × 188.24
  4. Step 4: Simplify right side
    201.68x = 52,293.07
  5. Step 5: Solve for x
    x = 52,293.07/201.68
  6. Step 6: Final answer
    x = 259.29

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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.