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Finding the Fourth Proportional to 404.37, 558.09 and 257.42

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Solution

The fourth proportional to 404.37, 558.09 and 257.42 is: 355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 558.09 = 257.42 : x
  2. Step 2: Convert to fraction form
    404.37/558.09 = 257.42/x
  3. Step 3: Cross multiply
    404.37x = 558.09 × 257.42
  4. Step 4: Simplify right side
    404.37x = 143,664.92
  5. Step 5: Solve for x
    x = 143,664.92/404.37
  6. Step 6: Final answer
    x = 355.28

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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.