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Finding the Fourth Proportional to 85.29, 116.93 and 83.75

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Solution

The fourth proportional to 85.29, 116.93 and 83.75 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.29 : 116.93 = 83.75 : x
  2. Step 2: Convert to fraction form
    85.29/116.93 = 83.75/x
  3. Step 3: Cross multiply
    85.29x = 116.93 × 83.75
  4. Step 4: Simplify right side
    85.29x = 9,792.51
  5. Step 5: Solve for x
    x = 9,792.51/85.29
  6. Step 6: Final answer
    x = 114.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.