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Finding the Fourth Proportional to 22.46, 30.80 and 20.93

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Solution

The fourth proportional to 22.46, 30.80 and 20.93 is: 28.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 30.80 = 20.93 : x
  2. Step 2: Convert to fraction form
    22.46/30.80 = 20.93/x
  3. Step 3: Cross multiply
    22.46x = 30.80 × 20.93
  4. Step 4: Simplify right side
    22.46x = 644.54
  5. Step 5: Solve for x
    x = 644.54/22.46
  6. Step 6: Final answer
    x = 28.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.