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Finding the Fourth Proportional to 304.34, 418.98 and 257.48

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Solution

The fourth proportional to 304.34, 418.98 and 257.48 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.34 : 418.98 = 257.48 : x
  2. Step 2: Convert to fraction form
    304.34/418.98 = 257.48/x
  3. Step 3: Cross multiply
    304.34x = 418.98 × 257.48
  4. Step 4: Simplify right side
    304.34x = 107,878.97
  5. Step 5: Solve for x
    x = 107,878.97/304.34
  6. Step 6: Final answer
    x = 354.47

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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.