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Finding the Fourth Proportional to 186.80, 257.76 and 137.70

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Solution

The fourth proportional to 186.80, 257.76 and 137.70 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 257.76 = 137.70 : x
  2. Step 2: Convert to fraction form
    186.80/257.76 = 137.70/x
  3. Step 3: Cross multiply
    186.80x = 257.76 × 137.70
  4. Step 4: Simplify right side
    186.80x = 35,493.55
  5. Step 5: Solve for x
    x = 35,493.55/186.80
  6. Step 6: Final answer
    x = 190.01

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