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Finding the Fourth Proportional to 84.66, 126.78 and 55.68

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Solution

The fourth proportional to 84.66, 126.78 and 55.68 is: 83.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 126.78 = 55.68 : x
  2. Step 2: Convert to fraction form
    84.66/126.78 = 55.68/x
  3. Step 3: Cross multiply
    84.66x = 126.78 × 55.68
  4. Step 4: Simplify right side
    84.66x = 7,059.11
  5. Step 5: Solve for x
    x = 7,059.11/84.66
  6. Step 6: Final answer
    x = 83.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.