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Finding the Fourth Proportional to 98.36, 146.73 and 91.10

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Solution

The fourth proportional to 98.36, 146.73 and 91.10 is: 135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 146.73 = 91.10 : x
  2. Step 2: Convert to fraction form
    98.36/146.73 = 91.10/x
  3. Step 3: Cross multiply
    98.36x = 146.73 × 91.10
  4. Step 4: Simplify right side
    98.36x = 13,367.10
  5. Step 5: Solve for x
    x = 13,367.10/98.36
  6. Step 6: Final answer
    x = 135.90

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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.