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Finding the Fourth Proportional to 404.30, 558.11 and 331.40

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Solution

The fourth proportional to 404.30, 558.11 and 331.40 is: 457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.30 : 558.11 = 331.40 : x
  2. Step 2: Convert to fraction form
    404.30/558.11 = 331.40/x
  3. Step 3: Cross multiply
    404.30x = 558.11 × 331.40
  4. Step 4: Simplify right side
    404.30x = 184,957.65
  5. Step 5: Solve for x
    x = 184,957.65/404.30
  6. Step 6: Final answer
    x = 457.48

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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.