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Finding the Fourth Proportional to 186.71, 281.37 and 160.01

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Solution

The fourth proportional to 186.71, 281.37 and 160.01 is: 241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 281.37 = 160.01 : x
  2. Step 2: Convert to fraction form
    186.71/281.37 = 160.01/x
  3. Step 3: Cross multiply
    186.71x = 281.37 × 160.01
  4. Step 4: Simplify right side
    186.71x = 45,022.01
  5. Step 5: Solve for x
    x = 45,022.01/186.71
  6. Step 6: Final answer
    x = 241.13

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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.