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Finding the Fourth Proportional to 85.30, 117.94 and 84

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Solution

The fourth proportional to 85.30, 117.94 and 84 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.30 : 117.94 = 84 : x
  2. Step 2: Convert to fraction form
    85.30/117.94 = 84/x
  3. Step 3: Cross multiply
    85.30x = 117.94 × 84
  4. Step 4: Simplify right side
    85.30x = 9,906.96
  5. Step 5: Solve for x
    x = 9,906.96/85.30
  6. Step 6: Final answer
    x = 116.14

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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.