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Finding the Fourth Proportional to 200.12, 299.96 and 70.00

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Solution

The fourth proportional to 200.12, 299.96 and 70.00 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 299.96 = 70.00 : x
  2. Step 2: Convert to fraction form
    200.12/299.96 = 70.00/x
  3. Step 3: Cross multiply
    200.12x = 299.96 × 70.00
  4. Step 4: Simplify right side
    200.12x = 20,996.10
  5. Step 5: Solve for x
    x = 20,996.10/200.12
  6. Step 6: Final answer
    x = 104.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.