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Finding the Fourth Proportional to 386.45, 579.75 and 126.45

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Solution

The fourth proportional to 386.45, 579.75 and 126.45 is: 189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.45 : 579.75 = 126.45 : x
  2. Step 2: Convert to fraction form
    386.45/579.75 = 126.45/x
  3. Step 3: Cross multiply
    386.45x = 579.75 × 126.45
  4. Step 4: Simplify right side
    386.45x = 73,309.39
  5. Step 5: Solve for x
    x = 73,309.39/386.45
  6. Step 6: Final answer
    x = 189.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.