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Finding the Fourth Proportional to 85.79, 118.27 and 84.64

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Solution

The fourth proportional to 85.79, 118.27 and 84.64 is: 116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.79 : 118.27 = 84.64 : x
  2. Step 2: Convert to fraction form
    85.79/118.27 = 84.64/x
  3. Step 3: Cross multiply
    85.79x = 118.27 × 84.64
  4. Step 4: Simplify right side
    85.79x = 10,009.87
  5. Step 5: Solve for x
    x = 10,009.87/85.79
  6. Step 6: Final answer
    x = 116.68

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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.