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Finding the Fourth Proportional to 137.10, 188.96 and 100.18

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Solution

The fourth proportional to 137.10, 188.96 and 100.18 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 188.96 = 100.18 : x
  2. Step 2: Convert to fraction form
    137.10/188.96 = 100.18/x
  3. Step 3: Cross multiply
    137.10x = 188.96 × 100.18
  4. Step 4: Simplify right side
    137.10x = 18,930.01
  5. Step 5: Solve for x
    x = 18,930.01/137.10
  6. Step 6: Final answer
    x = 138.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.