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Finding the Fourth Proportional to 108.63, 150.68 and 105.93

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Solution

The fourth proportional to 108.63, 150.68 and 105.93 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 150.68 = 105.93 : x
  2. Step 2: Convert to fraction form
    108.63/150.68 = 105.93/x
  3. Step 3: Cross multiply
    108.63x = 150.68 × 105.93
  4. Step 4: Simplify right side
    108.63x = 15,961.80
  5. Step 5: Solve for x
    x = 15,961.80/108.63
  6. Step 6: Final answer
    x = 146.94

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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.