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Finding the Fourth Proportional to 386.84, 582.36 and 300.68

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Solution

The fourth proportional to 386.84, 582.36 and 300.68 is: 452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.84 : 582.36 = 300.68 : x
  2. Step 2: Convert to fraction form
    386.84/582.36 = 300.68/x
  3. Step 3: Cross multiply
    386.84x = 582.36 × 300.68
  4. Step 4: Simplify right side
    386.84x = 175,104.00
  5. Step 5: Solve for x
    x = 175,104.00/386.84
  6. Step 6: Final answer
    x = 452.65

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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.