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Finding the Fourth Proportional to 294.52, 406.38 and 257.80

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Solution

The fourth proportional to 294.52, 406.38 and 257.80 is: 355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.52 : 406.38 = 257.80 : x
  2. Step 2: Convert to fraction form
    294.52/406.38 = 257.80/x
  3. Step 3: Cross multiply
    294.52x = 406.38 × 257.80
  4. Step 4: Simplify right side
    294.52x = 104,764.76
  5. Step 5: Solve for x
    x = 104,764.76/294.52
  6. Step 6: Final answer
    x = 355.71

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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.