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Finding the Fourth Proportional to 186.82, 259.43 and 185.02

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Solution

The fourth proportional to 186.82, 259.43 and 185.02 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 259.43 = 185.02 : x
  2. Step 2: Convert to fraction form
    186.82/259.43 = 185.02/x
  3. Step 3: Cross multiply
    186.82x = 259.43 × 185.02
  4. Step 4: Simplify right side
    186.82x = 47,999.74
  5. Step 5: Solve for x
    x = 47,999.74/186.82
  6. Step 6: Final answer
    x = 256.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.