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Finding the Fourth Proportional to 186.80, 257.50 and 137.59

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Solution

The fourth proportional to 186.80, 257.50 and 137.59 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 257.50 = 137.59 : x
  2. Step 2: Convert to fraction form
    186.80/257.50 = 137.59/x
  3. Step 3: Cross multiply
    186.80x = 257.50 × 137.59
  4. Step 4: Simplify right side
    186.80x = 35,428.44
  5. Step 5: Solve for x
    x = 35,428.44/186.80
  6. Step 6: Final answer
    x = 189.66

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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.