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Finding the Fourth Proportional to 186.79, 281.87 and 180.01

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Solution

The fourth proportional to 186.79, 281.87 and 180.01 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 281.87 = 180.01 : x
  2. Step 2: Convert to fraction form
    186.79/281.87 = 180.01/x
  3. Step 3: Cross multiply
    186.79x = 281.87 × 180.01
  4. Step 4: Simplify right side
    186.79x = 50,739.42
  5. Step 5: Solve for x
    x = 50,739.42/186.79
  6. Step 6: Final answer
    x = 271.64

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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.