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Finding the Fourth Proportional to 18.51, 27.78 and 7.11

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Solution

The fourth proportional to 18.51, 27.78 and 7.11 is: 10.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.51 : 27.78 = 7.11 : x
  2. Step 2: Convert to fraction form
    18.51/27.78 = 7.11/x
  3. Step 3: Cross multiply
    18.51x = 27.78 × 7.11
  4. Step 4: Simplify right side
    18.51x = 197.53
  5. Step 5: Solve for x
    x = 197.53/18.51
  6. Step 6: Final answer
    x = 10.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.