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Finding the Fourth Proportional to 108.42, 162.66 and 107.46

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Solution

The fourth proportional to 108.42, 162.66 and 107.46 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 162.66 = 107.46 : x
  2. Step 2: Convert to fraction form
    108.42/162.66 = 107.46/x
  3. Step 3: Cross multiply
    108.42x = 162.66 × 107.46
  4. Step 4: Simplify right side
    108.42x = 17,479.44
  5. Step 5: Solve for x
    x = 17,479.44/108.42
  6. Step 6: Final answer
    x = 161.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.