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Finding the Fourth Proportional to 15.21, 22.81 and 6.20

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Solution

The fourth proportional to 15.21, 22.81 and 6.20 is: 9.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.21 : 22.81 = 6.20 : x
  2. Step 2: Convert to fraction form
    15.21/22.81 = 6.20/x
  3. Step 3: Cross multiply
    15.21x = 22.81 × 6.20
  4. Step 4: Simplify right side
    15.21x = 141.42
  5. Step 5: Solve for x
    x = 141.42/15.21
  6. Step 6: Final answer
    x = 9.30

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Why These Related Problems?

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