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Finding the Fourth Proportional to 84.83, 128.00 and 81.81

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Solution

The fourth proportional to 84.83, 128.00 and 81.81 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.83 : 128.00 = 81.81 : x
  2. Step 2: Convert to fraction form
    84.83/128.00 = 81.81/x
  3. Step 3: Cross multiply
    84.83x = 128.00 × 81.81
  4. Step 4: Simplify right side
    84.83x = 10,471.88
  5. Step 5: Solve for x
    x = 10,471.88/84.83
  6. Step 6: Final answer
    x = 123.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.