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Finding the Fourth Proportional to 304.24, 419.64 and 257.92

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Solution

The fourth proportional to 304.24, 419.64 and 257.92 is: 355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.24 : 419.64 = 257.92 : x
  2. Step 2: Convert to fraction form
    304.24/419.64 = 257.92/x
  3. Step 3: Cross multiply
    304.24x = 419.64 × 257.92
  4. Step 4: Simplify right side
    304.24x = 108,233.55
  5. Step 5: Solve for x
    x = 108,233.55/304.24
  6. Step 6: Final answer
    x = 355.75

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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.