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Finding the Fourth Proportional to 109.84, 152.17 and 107.68

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Solution

The fourth proportional to 109.84, 152.17 and 107.68 is: 149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.84 : 152.17 = 107.68 : x
  2. Step 2: Convert to fraction form
    109.84/152.17 = 107.68/x
  3. Step 3: Cross multiply
    109.84x = 152.17 × 107.68
  4. Step 4: Simplify right side
    109.84x = 16,385.67
  5. Step 5: Solve for x
    x = 16,385.67/109.84
  6. Step 6: Final answer
    x = 149.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.