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Finding the Fourth Proportional to 15.22, 22.72 and 12.94

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Solution

The fourth proportional to 15.22, 22.72 and 12.94 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.22 : 22.72 = 12.94 : x
  2. Step 2: Convert to fraction form
    15.22/22.72 = 12.94/x
  3. Step 3: Cross multiply
    15.22x = 22.72 × 12.94
  4. Step 4: Simplify right side
    15.22x = 294.00
  5. Step 5: Solve for x
    x = 294.00/15.22
  6. Step 6: Final answer
    x = 19.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.