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Finding the Fourth Proportional to 108.23, 148.32 and 108.05

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Solution

The fourth proportional to 108.23, 148.32 and 108.05 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 148.32 = 108.05 : x
  2. Step 2: Convert to fraction form
    108.23/148.32 = 108.05/x
  3. Step 3: Cross multiply
    108.23x = 148.32 × 108.05
  4. Step 4: Simplify right side
    108.23x = 16,025.23
  5. Step 5: Solve for x
    x = 16,025.23/108.23
  6. Step 6: Final answer
    x = 148.07

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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.