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Finding the Fourth Proportional to 108.16, 162.27 and 68.60

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Solution

The fourth proportional to 108.16, 162.27 and 68.60 is: 102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.16 : 162.27 = 68.60 : x
  2. Step 2: Convert to fraction form
    108.16/162.27 = 68.60/x
  3. Step 3: Cross multiply
    108.16x = 162.27 × 68.60
  4. Step 4: Simplify right side
    108.16x = 11,132.13
  5. Step 5: Solve for x
    x = 11,132.13/108.16
  6. Step 6: Final answer
    x = 102.93

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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.