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Finding the Fourth Proportional to 98.36, 146.82 and 90.80

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Solution

The fourth proportional to 98.36, 146.82 and 90.80 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 146.82 = 90.80 : x
  2. Step 2: Convert to fraction form
    98.36/146.82 = 90.80/x
  3. Step 3: Cross multiply
    98.36x = 146.82 × 90.80
  4. Step 4: Simplify right side
    98.36x = 13,331.26
  5. Step 5: Solve for x
    x = 13,331.26/98.36
  6. Step 6: Final answer
    x = 135.54

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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.