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Finding the Fourth Proportional to 107.98, 160.91 and 103.34

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Solution

The fourth proportional to 107.98, 160.91 and 103.34 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 160.91 = 103.34 : x
  2. Step 2: Convert to fraction form
    107.98/160.91 = 103.34/x
  3. Step 3: Cross multiply
    107.98x = 160.91 × 103.34
  4. Step 4: Simplify right side
    107.98x = 16,628.44
  5. Step 5: Solve for x
    x = 16,628.44/107.98
  6. Step 6: Final answer
    x = 154.00

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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.