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Finding the Fourth Proportional to 186.85, 281.26 and 143.75

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Solution

The fourth proportional to 186.85, 281.26 and 143.75 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.85 : 281.26 = 143.75 : x
  2. Step 2: Convert to fraction form
    186.85/281.26 = 143.75/x
  3. Step 3: Cross multiply
    186.85x = 281.26 × 143.75
  4. Step 4: Simplify right side
    186.85x = 40,430.41
  5. Step 5: Solve for x
    x = 40,430.41/186.85
  6. Step 6: Final answer
    x = 216.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.