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Finding the Fourth Proportional to 108.63, 161.84 and 104.31

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Solution

The fourth proportional to 108.63, 161.84 and 104.31 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.63 : 161.84 = 104.31 : x
  2. Step 2: Convert to fraction form
    108.63/161.84 = 104.31/x
  3. Step 3: Cross multiply
    108.63x = 161.84 × 104.31
  4. Step 4: Simplify right side
    108.63x = 16,881.79
  5. Step 5: Solve for x
    x = 16,881.79/108.63
  6. Step 6: Final answer
    x = 155.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.