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Finding the Fourth Proportional to 304.23, 418.59 and 256.80

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Solution

The fourth proportional to 304.23, 418.59 and 256.80 is: 353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 418.59 = 256.80 : x
  2. Step 2: Convert to fraction form
    304.23/418.59 = 256.80/x
  3. Step 3: Cross multiply
    304.23x = 418.59 × 256.80
  4. Step 4: Simplify right side
    304.23x = 107,493.91
  5. Step 5: Solve for x
    x = 107,493.91/304.23
  6. Step 6: Final answer
    x = 353.33

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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.