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Finding the Fourth Proportional to 116.70, 173.93 and 106.44

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Solution

The fourth proportional to 116.70, 173.93 and 106.44 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 173.93 = 106.44 : x
  2. Step 2: Convert to fraction form
    116.70/173.93 = 106.44/x
  3. Step 3: Cross multiply
    116.70x = 173.93 × 106.44
  4. Step 4: Simplify right side
    116.70x = 18,513.11
  5. Step 5: Solve for x
    x = 18,513.11/116.70
  6. Step 6: Final answer
    x = 158.64

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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.