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Finding the Fourth Proportional to 100.65, 138.01 and 98.22

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Solution

The fourth proportional to 100.65, 138.01 and 98.22 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 138.01 = 98.22 : x
  2. Step 2: Convert to fraction form
    100.65/138.01 = 98.22/x
  3. Step 3: Cross multiply
    100.65x = 138.01 × 98.22
  4. Step 4: Simplify right side
    100.65x = 13,555.10
  5. Step 5: Solve for x
    x = 13,555.10/100.65
  6. Step 6: Final answer
    x = 134.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.