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Finding the Fourth Proportional to 102.82, 140.79 and 98.19

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Solution

The fourth proportional to 102.82, 140.79 and 98.19 is: 134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 140.79 = 98.19 : x
  2. Step 2: Convert to fraction form
    102.82/140.79 = 98.19/x
  3. Step 3: Cross multiply
    102.82x = 140.79 × 98.19
  4. Step 4: Simplify right side
    102.82x = 13,823.59
  5. Step 5: Solve for x
    x = 13,823.59/102.82
  6. Step 6: Final answer
    x = 134.45

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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.