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Finding the Fourth Proportional to 16.46, 22.72 and 9.19

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Solution

The fourth proportional to 16.46, 22.72 and 9.19 is: 12.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.46 : 22.72 = 9.19 : x
  2. Step 2: Convert to fraction form
    16.46/22.72 = 9.19/x
  3. Step 3: Cross multiply
    16.46x = 22.72 × 9.19
  4. Step 4: Simplify right side
    16.46x = 208.64
  5. Step 5: Solve for x
    x = 208.64/16.46
  6. Step 6: Final answer
    x = 12.67

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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.