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Finding the Fourth Proportional to 107.30, 159.83 and 96.36

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Solution

The fourth proportional to 107.30, 159.83 and 96.36 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 159.83 = 96.36 : x
  2. Step 2: Convert to fraction form
    107.30/159.83 = 96.36/x
  3. Step 3: Cross multiply
    107.30x = 159.83 × 96.36
  4. Step 4: Simplify right side
    107.30x = 15,400.74
  5. Step 5: Solve for x
    x = 15,400.74/107.30
  6. Step 6: Final answer
    x = 143.54

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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.