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Finding the Fourth Proportional to 85.23, 116.80 and 77.03

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Solution

The fourth proportional to 85.23, 116.80 and 77.03 is: 105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 116.80 = 77.03 : x
  2. Step 2: Convert to fraction form
    85.23/116.80 = 77.03/x
  3. Step 3: Cross multiply
    85.23x = 116.80 × 77.03
  4. Step 4: Simplify right side
    85.23x = 8,996.31
  5. Step 5: Solve for x
    x = 8,996.31/85.23
  6. Step 6: Final answer
    x = 105.56

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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.