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Finding the Fourth Proportional to 4.21, 5.81 and 3

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Solution

The fourth proportional to 4.21, 5.81 and 3 is: 4.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.21 : 5.81 = 3 : x
  2. Step 2: Convert to fraction form
    4.21/5.81 = 3/x
  3. Step 3: Cross multiply
    4.21x = 5.81 × 3
  4. Step 4: Simplify right side
    4.21x = 17.43
  5. Step 5: Solve for x
    x = 17.43/4.21
  6. Step 6: Final answer
    x = 4.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.