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Finding the Fourth Proportional to 3.06, 4.60 and 2.57

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Solution

The fourth proportional to 3.06, 4.60 and 2.57 is: 3.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.06 : 4.60 = 2.57 : x
  2. Step 2: Convert to fraction form
    3.06/4.60 = 2.57/x
  3. Step 3: Cross multiply
    3.06x = 4.60 × 2.57
  4. Step 4: Simplify right side
    3.06x = 11.82
  5. Step 5: Solve for x
    x = 11.82/3.06
  6. Step 6: Final answer
    x = 3.86

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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.