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Finding the Fourth Proportional to 22.54, 31.08 and 19.84

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Solution

The fourth proportional to 22.54, 31.08 and 19.84 is: 27.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 31.08 = 19.84 : x
  2. Step 2: Convert to fraction form
    22.54/31.08 = 19.84/x
  3. Step 3: Cross multiply
    22.54x = 31.08 × 19.84
  4. Step 4: Simplify right side
    22.54x = 616.63
  5. Step 5: Solve for x
    x = 616.63/22.54
  6. Step 6: Final answer
    x = 27.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.