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Finding the Fourth Proportional to 186.98, 281.51 and 164.30

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Solution

The fourth proportional to 186.98, 281.51 and 164.30 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 281.51 = 164.30 : x
  2. Step 2: Convert to fraction form
    186.98/281.51 = 164.30/x
  3. Step 3: Cross multiply
    186.98x = 281.51 × 164.30
  4. Step 4: Simplify right side
    186.98x = 46,252.09
  5. Step 5: Solve for x
    x = 46,252.09/186.98
  6. Step 6: Final answer
    x = 247.36

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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.