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Finding the Fourth Proportional to 305.70, 419.16 and 298.41

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Solution

The fourth proportional to 305.70, 419.16 and 298.41 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.70 : 419.16 = 298.41 : x
  2. Step 2: Convert to fraction form
    305.70/419.16 = 298.41/x
  3. Step 3: Cross multiply
    305.70x = 419.16 × 298.41
  4. Step 4: Simplify right side
    305.70x = 125,081.54
  5. Step 5: Solve for x
    x = 125,081.54/305.70
  6. Step 6: Final answer
    x = 409.16

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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.