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Finding the Fourth Proportional to 22.36, 30.70 and 21

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Solution

The fourth proportional to 22.36, 30.70 and 21 is: 28.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.36 : 30.70 = 21 : x
  2. Step 2: Convert to fraction form
    22.36/30.70 = 21/x
  3. Step 3: Cross multiply
    22.36x = 30.70 × 21
  4. Step 4: Simplify right side
    22.36x = 644.70
  5. Step 5: Solve for x
    x = 644.70/22.36
  6. Step 6: Final answer
    x = 28.83

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1.5x scale

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.