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Finding the Fourth Proportional to 404.90, 558.59 and 257.48

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Solution

The fourth proportional to 404.90, 558.59 and 257.48 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.90 : 558.59 = 257.48 : x
  2. Step 2: Convert to fraction form
    404.90/558.59 = 257.48/x
  3. Step 3: Cross multiply
    404.90x = 558.59 × 257.48
  4. Step 4: Simplify right side
    404.90x = 143,825.75
  5. Step 5: Solve for x
    x = 143,825.75/404.90
  6. Step 6: Final answer
    x = 355.21

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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.