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Finding the Fourth Proportional to 186.47, 257.22 and 116.40

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Solution

The fourth proportional to 186.47, 257.22 and 116.40 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 257.22 = 116.40 : x
  2. Step 2: Convert to fraction form
    186.47/257.22 = 116.40/x
  3. Step 3: Cross multiply
    186.47x = 257.22 × 116.40
  4. Step 4: Simplify right side
    186.47x = 29,940.41
  5. Step 5: Solve for x
    x = 29,940.41/186.47
  6. Step 6: Final answer
    x = 160.57

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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.