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Finding the Fourth Proportional to 28.24, 42.21 and 22.16

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Solution

The fourth proportional to 28.24, 42.21 and 22.16 is: 33.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.24 : 42.21 = 22.16 : x
  2. Step 2: Convert to fraction form
    28.24/42.21 = 22.16/x
  3. Step 3: Cross multiply
    28.24x = 42.21 × 22.16
  4. Step 4: Simplify right side
    28.24x = 935.37
  5. Step 5: Solve for x
    x = 935.37/28.24
  6. Step 6: Final answer
    x = 33.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.