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Finding the Fourth Proportional to 200.09, 276.09 and 116.05

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Solution

The fourth proportional to 200.09, 276.09 and 116.05 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 276.09 = 116.05 : x
  2. Step 2: Convert to fraction form
    200.09/276.09 = 116.05/x
  3. Step 3: Cross multiply
    200.09x = 276.09 × 116.05
  4. Step 4: Simplify right side
    200.09x = 32,040.24
  5. Step 5: Solve for x
    x = 32,040.24/200.09
  6. Step 6: Final answer
    x = 160.13

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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.