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Finding the Fourth Proportional to 404.51, 558.02 and 255.06

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Solution

The fourth proportional to 404.51, 558.02 and 255.06 is: 351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.51 : 558.02 = 255.06 : x
  2. Step 2: Convert to fraction form
    404.51/558.02 = 255.06/x
  3. Step 3: Cross multiply
    404.51x = 558.02 × 255.06
  4. Step 4: Simplify right side
    404.51x = 142,327.31
  5. Step 5: Solve for x
    x = 142,327.31/404.51
  6. Step 6: Final answer
    x = 351.86

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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.