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Finding the Fourth Proportional to 100.98, 137.60 and 98.76

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Solution

The fourth proportional to 100.98, 137.60 and 98.76 is: 134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.98 : 137.60 = 98.76 : x
  2. Step 2: Convert to fraction form
    100.98/137.60 = 98.76/x
  3. Step 3: Cross multiply
    100.98x = 137.60 × 98.76
  4. Step 4: Simplify right side
    100.98x = 13,589.38
  5. Step 5: Solve for x
    x = 13,589.38/100.98
  6. Step 6: Final answer
    x = 134.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.