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Finding the Fourth Proportional to 186.45, 257.36 and 134.07

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Solution

The fourth proportional to 186.45, 257.36 and 134.07 is: 185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.45 : 257.36 = 134.07 : x
  2. Step 2: Convert to fraction form
    186.45/257.36 = 134.07/x
  3. Step 3: Cross multiply
    186.45x = 257.36 × 134.07
  4. Step 4: Simplify right side
    186.45x = 34,503.58
  5. Step 5: Solve for x
    x = 34,503.58/186.45
  6. Step 6: Final answer
    x = 185.06

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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.