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Finding the Fourth Proportional to 305.43, 418.72 and 300.65

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Solution

The fourth proportional to 305.43, 418.72 and 300.65 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.43 : 418.72 = 300.65 : x
  2. Step 2: Convert to fraction form
    305.43/418.72 = 300.65/x
  3. Step 3: Cross multiply
    305.43x = 418.72 × 300.65
  4. Step 4: Simplify right side
    305.43x = 125,888.17
  5. Step 5: Solve for x
    x = 125,888.17/305.43
  6. Step 6: Final answer
    x = 412.17

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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.