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Finding the Fourth Proportional to 137.90, 189.98 and 113.19

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Solution

The fourth proportional to 137.90, 189.98 and 113.19 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 189.98 = 113.19 : x
  2. Step 2: Convert to fraction form
    137.90/189.98 = 113.19/x
  3. Step 3: Cross multiply
    137.90x = 189.98 × 113.19
  4. Step 4: Simplify right side
    137.90x = 21,503.84
  5. Step 5: Solve for x
    x = 21,503.84/137.90
  6. Step 6: Final answer
    x = 155.94

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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.