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Finding the Fourth Proportional to 186.81, 257.12 and 137.60

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Solution

The fourth proportional to 186.81, 257.12 and 137.60 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 257.12 = 137.60 : x
  2. Step 2: Convert to fraction form
    186.81/257.12 = 137.60/x
  3. Step 3: Cross multiply
    186.81x = 257.12 × 137.60
  4. Step 4: Simplify right side
    186.81x = 35,379.99
  5. Step 5: Solve for x
    x = 35,379.99/186.81
  6. Step 6: Final answer
    x = 189.39

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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.