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Finding the Fourth Proportional to 107.22, 149.00 and 105.93

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Solution

The fourth proportional to 107.22, 149.00 and 105.93 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 149.00 = 105.93 : x
  2. Step 2: Convert to fraction form
    107.22/149.00 = 105.93/x
  3. Step 3: Cross multiply
    107.22x = 149.00 × 105.93
  4. Step 4: Simplify right side
    107.22x = 15,783.04
  5. Step 5: Solve for x
    x = 15,783.04/107.22
  6. Step 6: Final answer
    x = 147.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.