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Finding the Fourth Proportional to 107.21, 160.44 and 76.84

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Solution

The fourth proportional to 107.21, 160.44 and 76.84 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.21 : 160.44 = 76.84 : x
  2. Step 2: Convert to fraction form
    107.21/160.44 = 76.84/x
  3. Step 3: Cross multiply
    107.21x = 160.44 × 76.84
  4. Step 4: Simplify right side
    107.21x = 12,328.21
  5. Step 5: Solve for x
    x = 12,328.21/107.21
  6. Step 6: Final answer
    x = 114.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.