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Finding the Fourth Proportional to 108.81, 162.90 and 57.33

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Solution

The fourth proportional to 108.81, 162.90 and 57.33 is: 85.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.81 : 162.90 = 57.33 : x
  2. Step 2: Convert to fraction form
    108.81/162.90 = 57.33/x
  3. Step 3: Cross multiply
    108.81x = 162.90 × 57.33
  4. Step 4: Simplify right side
    108.81x = 9,339.06
  5. Step 5: Solve for x
    x = 9,339.06/108.81
  6. Step 6: Final answer
    x = 85.83

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