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Finding the Fourth Proportional to 186.80, 258.03 and 143.06

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Solution

The fourth proportional to 186.80, 258.03 and 143.06 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 258.03 = 143.06 : x
  2. Step 2: Convert to fraction form
    186.80/258.03 = 143.06/x
  3. Step 3: Cross multiply
    186.80x = 258.03 × 143.06
  4. Step 4: Simplify right side
    186.80x = 36,913.77
  5. Step 5: Solve for x
    x = 36,913.77/186.80
  6. Step 6: Final answer
    x = 197.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.