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Finding the Fourth Proportional to 85.09, 117.39 and 57.46

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Solution

The fourth proportional to 85.09, 117.39 and 57.46 is: 79.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.09 : 117.39 = 57.46 : x
  2. Step 2: Convert to fraction form
    85.09/117.39 = 57.46/x
  3. Step 3: Cross multiply
    85.09x = 117.39 × 57.46
  4. Step 4: Simplify right side
    85.09x = 6,745.23
  5. Step 5: Solve for x
    x = 6,745.23/85.09
  6. Step 6: Final answer
    x = 79.27

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Why These Related Problems?

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