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Finding the Fourth Proportional to 305.71, 419.14 and 300.25

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Solution

The fourth proportional to 305.71, 419.14 and 300.25 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 419.14 = 300.25 : x
  2. Step 2: Convert to fraction form
    305.71/419.14 = 300.25/x
  3. Step 3: Cross multiply
    305.71x = 419.14 × 300.25
  4. Step 4: Simplify right side
    305.71x = 125,845.28
  5. Step 5: Solve for x
    x = 125,845.28/305.71
  6. Step 6: Final answer
    x = 411.65

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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.