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Finding the Fourth Proportional to 3.68, 5.08 and 2.06

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Solution

The fourth proportional to 3.68, 5.08 and 2.06 is: 2.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.68 : 5.08 = 2.06 : x
  2. Step 2: Convert to fraction form
    3.68/5.08 = 2.06/x
  3. Step 3: Cross multiply
    3.68x = 5.08 × 2.06
  4. Step 4: Simplify right side
    3.68x = 10.47
  5. Step 5: Solve for x
    x = 10.47/3.68
  6. Step 6: Final answer
    x = 2.85

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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.