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Finding the Fourth Proportional to 107.28, 160.50 and 71.28

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Solution

The fourth proportional to 107.28, 160.50 and 71.28 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 160.50 = 71.28 : x
  2. Step 2: Convert to fraction form
    107.28/160.50 = 71.28/x
  3. Step 3: Cross multiply
    107.28x = 160.50 × 71.28
  4. Step 4: Simplify right side
    107.28x = 11,440.44
  5. Step 5: Solve for x
    x = 11,440.44/107.28
  6. Step 6: Final answer
    x = 106.64

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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.