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Finding the Fourth Proportional to 404.67, 558.48 and 257.43

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Solution

The fourth proportional to 404.67, 558.48 and 257.43 is: 355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.67 : 558.48 = 257.43 : x
  2. Step 2: Convert to fraction form
    404.67/558.48 = 257.43/x
  3. Step 3: Cross multiply
    404.67x = 558.48 × 257.43
  4. Step 4: Simplify right side
    404.67x = 143,769.51
  5. Step 5: Solve for x
    x = 143,769.51/404.67
  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.