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Finding the Fourth Proportional to 406.82, 561.33 and 257.49

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Solution

The fourth proportional to 406.82, 561.33 and 257.49 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.82 : 561.33 = 257.49 : x
  2. Step 2: Convert to fraction form
    406.82/561.33 = 257.49/x
  3. Step 3: Cross multiply
    406.82x = 561.33 × 257.49
  4. Step 4: Simplify right side
    406.82x = 144,539.69
  5. Step 5: Solve for x
    x = 144,539.69/406.82
  6. Step 6: Final answer
    x = 355.29

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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.