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Finding the Fourth Proportional to 305.47, 418.79 and 300

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Solution

The fourth proportional to 305.47, 418.79 and 300 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.47 : 418.79 = 300 : x
  2. Step 2: Convert to fraction form
    305.47/418.79 = 300/x
  3. Step 3: Cross multiply
    305.47x = 418.79 × 300
  4. Step 4: Simplify right side
    305.47x = 125,637
  5. Step 5: Solve for x
    x = 125,637/305.47
  6. Step 6: Final answer
    x = 411.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.