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Finding the Fourth Proportional to 105.77, 157.37 and 105.39

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Solution

The fourth proportional to 105.77, 157.37 and 105.39 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 157.37 = 105.39 : x
  2. Step 2: Convert to fraction form
    105.77/157.37 = 105.39/x
  3. Step 3: Cross multiply
    105.77x = 157.37 × 105.39
  4. Step 4: Simplify right side
    105.77x = 16,584.70
  5. Step 5: Solve for x
    x = 16,584.70/105.77
  6. Step 6: Final answer
    x = 156.81

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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.