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Finding the Fourth Proportional to 109.98, 163.98 and 105.93

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Solution

The fourth proportional to 109.98, 163.98 and 105.93 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 163.98 = 105.93 : x
  2. Step 2: Convert to fraction form
    109.98/163.98 = 105.93/x
  3. Step 3: Cross multiply
    109.98x = 163.98 × 105.93
  4. Step 4: Simplify right side
    109.98x = 17,370.40
  5. Step 5: Solve for x
    x = 17,370.40/109.98
  6. Step 6: Final answer
    x = 157.94

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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.