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Finding the Fourth Proportional to 186.89, 258.02 and 124.83

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Solution

The fourth proportional to 186.89, 258.02 and 124.83 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.89 : 258.02 = 124.83 : x
  2. Step 2: Convert to fraction form
    186.89/258.02 = 124.83/x
  3. Step 3: Cross multiply
    186.89x = 258.02 × 124.83
  4. Step 4: Simplify right side
    186.89x = 32,208.01
  5. Step 5: Solve for x
    x = 32,208.01/186.89
  6. Step 6: Final answer
    x = 172.34

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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.