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Finding the Fourth Proportional to 96.26, 133.19 and 84.00

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Solution

The fourth proportional to 96.26, 133.19 and 84.00 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.26 : 133.19 = 84.00 : x
  2. Step 2: Convert to fraction form
    96.26/133.19 = 84.00/x
  3. Step 3: Cross multiply
    96.26x = 133.19 × 84.00
  4. Step 4: Simplify right side
    96.26x = 11,188.35
  5. Step 5: Solve for x
    x = 11,188.35/96.26
  6. Step 6: Final answer
    x = 116.24

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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.