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Finding the Fourth Proportional to 305.76, 419.15 and 300.24

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Solution

The fourth proportional to 305.76, 419.15 and 300.24 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 419.15 = 300.24 : x
  2. Step 2: Convert to fraction form
    305.76/419.15 = 300.24/x
  3. Step 3: Cross multiply
    305.76x = 419.15 × 300.24
  4. Step 4: Simplify right side
    305.76x = 125,844.09
  5. Step 5: Solve for x
    x = 125,844.09/305.76
  6. Step 6: Final answer
    x = 411.58

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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.