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Finding the Fourth Proportional to 404.86, 558.36 and 331.04

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Solution

The fourth proportional to 404.86, 558.36 and 331.04 is: 456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.86 : 558.36 = 331.04 : x
  2. Step 2: Convert to fraction form
    404.86/558.36 = 331.04/x
  3. Step 3: Cross multiply
    404.86x = 558.36 × 331.04
  4. Step 4: Simplify right side
    404.86x = 184,837.84
  5. Step 5: Solve for x
    x = 184,837.84/404.86
  6. Step 6: Final answer
    x = 456.55

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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.