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Finding the Fourth Proportional to 102.49, 140.83 and 84.98

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Solution

The fourth proportional to 102.49, 140.83 and 84.98 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.49 : 140.83 = 84.98 : x
  2. Step 2: Convert to fraction form
    102.49/140.83 = 84.98/x
  3. Step 3: Cross multiply
    102.49x = 140.83 × 84.98
  4. Step 4: Simplify right side
    102.49x = 11,967.73
  5. Step 5: Solve for x
    x = 11,967.73/102.49
  6. Step 6: Final answer
    x = 116.77

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Why These Related Problems?

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