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Finding the Fourth Proportional to 22.33, 30.93 and 21.77

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Solution

The fourth proportional to 22.33, 30.93 and 21.77 is: 30.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.33 : 30.93 = 21.77 : x
  2. Step 2: Convert to fraction form
    22.33/30.93 = 21.77/x
  3. Step 3: Cross multiply
    22.33x = 30.93 × 21.77
  4. Step 4: Simplify right side
    22.33x = 673.35
  5. Step 5: Solve for x
    x = 673.35/22.33
  6. Step 6: Final answer
    x = 30.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.