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Finding the Fourth Proportional to 22.95, 31.55 and 20.21

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Solution

The fourth proportional to 22.95, 31.55 and 20.21 is: 27.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.95 : 31.55 = 20.21 : x
  2. Step 2: Convert to fraction form
    22.95/31.55 = 20.21/x
  3. Step 3: Cross multiply
    22.95x = 31.55 × 20.21
  4. Step 4: Simplify right side
    22.95x = 637.37
  5. Step 5: Solve for x
    x = 637.37/22.95
  6. Step 6: Final answer
    x = 27.77

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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.