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Finding the Fourth Proportional to 22.45, 33.57 and 15.67

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Solution

The fourth proportional to 22.45, 33.57 and 15.67 is: 23.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.45 : 33.57 = 15.67 : x
  2. Step 2: Convert to fraction form
    22.45/33.57 = 15.67/x
  3. Step 3: Cross multiply
    22.45x = 33.57 × 15.67
  4. Step 4: Simplify right side
    22.45x = 526.02
  5. Step 5: Solve for x
    x = 526.02/22.45
  6. Step 6: Final answer
    x = 23.43

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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.