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Finding the Fourth Proportional to 304.48, 419.92 and 257.96

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Solution

The fourth proportional to 304.48, 419.92 and 257.96 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 419.92 = 257.96 : x
  2. Step 2: Convert to fraction form
    304.48/419.92 = 257.96/x
  3. Step 3: Cross multiply
    304.48x = 419.92 × 257.96
  4. Step 4: Simplify right side
    304.48x = 108,322.97
  5. Step 5: Solve for x
    x = 108,322.97/304.48
  6. Step 6: Final answer
    x = 355.77

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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.