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Finding the Fourth Proportional to 186.82, 281.47 and 151.60

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Solution

The fourth proportional to 186.82, 281.47 and 151.60 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 281.47 = 151.60 : x
  2. Step 2: Convert to fraction form
    186.82/281.47 = 151.60/x
  3. Step 3: Cross multiply
    186.82x = 281.47 × 151.60
  4. Step 4: Simplify right side
    186.82x = 42,670.85
  5. Step 5: Solve for x
    x = 42,670.85/186.82
  6. Step 6: Final answer
    x = 228.41

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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.