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Finding the Fourth Proportional to 27.84, 38.40 and 20.46

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Solution

The fourth proportional to 27.84, 38.40 and 20.46 is: 28.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 38.40 = 20.46 : x
  2. Step 2: Convert to fraction form
    27.84/38.40 = 20.46/x
  3. Step 3: Cross multiply
    27.84x = 38.40 × 20.46
  4. Step 4: Simplify right side
    27.84x = 785.66
  5. Step 5: Solve for x
    x = 785.66/27.84
  6. Step 6: Final answer
    x = 28.22

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Why These Related Problems?

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