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Finding the Fourth Proportional to 109.46, 149.72 and 107.84

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Solution

The fourth proportional to 109.46, 149.72 and 107.84 is: 147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.46 : 149.72 = 107.84 : x
  2. Step 2: Convert to fraction form
    109.46/149.72 = 107.84/x
  3. Step 3: Cross multiply
    109.46x = 149.72 × 107.84
  4. Step 4: Simplify right side
    109.46x = 16,145.91
  5. Step 5: Solve for x
    x = 16,145.91/109.46
  6. Step 6: Final answer
    x = 147.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.