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Finding the Fourth Proportional to 85.67, 119.01 and 84.83

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Solution

The fourth proportional to 85.67, 119.01 and 84.83 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.67 : 119.01 = 84.83 : x
  2. Step 2: Convert to fraction form
    85.67/119.01 = 84.83/x
  3. Step 3: Cross multiply
    85.67x = 119.01 × 84.83
  4. Step 4: Simplify right side
    85.67x = 10,095.34
  5. Step 5: Solve for x
    x = 10,095.34/85.67
  6. Step 6: Final answer
    x = 117.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.