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Finding the Fourth Proportional to 85.00, 126.53 and 84.54

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Solution

The fourth proportional to 85.00, 126.53 and 84.54 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 126.53 = 84.54 : x
  2. Step 2: Convert to fraction form
    85.00/126.53 = 84.54/x
  3. Step 3: Cross multiply
    85.00x = 126.53 × 84.54
  4. Step 4: Simplify right side
    85.00x = 10,697.06
  5. Step 5: Solve for x
    x = 10,697.06/85.00
  6. Step 6: Final answer
    x = 125.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.