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Finding the Fourth Proportional to 107.81, 160.31 and 104.55

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Solution

The fourth proportional to 107.81, 160.31 and 104.55 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.81 : 160.31 = 104.55 : x
  2. Step 2: Convert to fraction form
    107.81/160.31 = 104.55/x
  3. Step 3: Cross multiply
    107.81x = 160.31 × 104.55
  4. Step 4: Simplify right side
    107.81x = 16,759.89
  5. Step 5: Solve for x
    x = 16,759.89/107.81
  6. Step 6: Final answer
    x = 155.46

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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.