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Finding the Fourth Proportional to 111.21, 166.82 and 98.49

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Solution

The fourth proportional to 111.21, 166.82 and 98.49 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.21 : 166.82 = 98.49 : x
  2. Step 2: Convert to fraction form
    111.21/166.82 = 98.49/x
  3. Step 3: Cross multiply
    111.21x = 166.82 × 98.49
  4. Step 4: Simplify right side
    111.21x = 16,430.10
  5. Step 5: Solve for x
    x = 16,430.10/111.21
  6. Step 6: Final answer
    x = 147.74

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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.