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Finding the Fourth Proportional to 108.64, 163 and 87.44

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Solution

The fourth proportional to 108.64, 163 and 87.44 is: 131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 163 = 87.44 : x
  2. Step 2: Convert to fraction form
    108.64/163 = 87.44/x
  3. Step 3: Cross multiply
    108.64x = 163 × 87.44
  4. Step 4: Simplify right side
    108.64x = 14,252.72
  5. Step 5: Solve for x
    x = 14,252.72/108.64
  6. Step 6: Final answer
    x = 131.19

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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.