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Finding the Fourth Proportional to 100.98, 138.59 and 98.28

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Solution

The fourth proportional to 100.98, 138.59 and 98.28 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.98 : 138.59 = 98.28 : x
  2. Step 2: Convert to fraction form
    100.98/138.59 = 98.28/x
  3. Step 3: Cross multiply
    100.98x = 138.59 × 98.28
  4. Step 4: Simplify right side
    100.98x = 13,620.63
  5. Step 5: Solve for x
    x = 13,620.63/100.98
  6. Step 6: Final answer
    x = 134.88

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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.