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Finding the Fourth Proportional to 108.43, 150.37 and 105.10

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Solution

The fourth proportional to 108.43, 150.37 and 105.10 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.43 : 150.37 = 105.10 : x
  2. Step 2: Convert to fraction form
    108.43/150.37 = 105.10/x
  3. Step 3: Cross multiply
    108.43x = 150.37 × 105.10
  4. Step 4: Simplify right side
    108.43x = 15,803.89
  5. Step 5: Solve for x
    x = 15,803.89/108.43
  6. Step 6: Final answer
    x = 145.75

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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.