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Finding the Fourth Proportional to 108.65, 149.81 and 84.03

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Solution

The fourth proportional to 108.65, 149.81 and 84.03 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 149.81 = 84.03 : x
  2. Step 2: Convert to fraction form
    108.65/149.81 = 84.03/x
  3. Step 3: Cross multiply
    108.65x = 149.81 × 84.03
  4. Step 4: Simplify right side
    108.65x = 12,588.11
  5. Step 5: Solve for x
    x = 12,588.11/108.65
  6. Step 6: Final answer
    x = 115.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.