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Finding the Fourth Proportional to 303.92, 419.48 and 210.68

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Solution

The fourth proportional to 303.92, 419.48 and 210.68 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.92 : 419.48 = 210.68 : x
  2. Step 2: Convert to fraction form
    303.92/419.48 = 210.68/x
  3. Step 3: Cross multiply
    303.92x = 419.48 × 210.68
  4. Step 4: Simplify right side
    303.92x = 88,376.05
  5. Step 5: Solve for x
    x = 88,376.05/303.92
  6. Step 6: Final answer
    x = 290.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.