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Finding the Fourth Proportional to 404.70, 558.30 and 304.80

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Solution

The fourth proportional to 404.70, 558.30 and 304.80 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 558.30 = 304.80 : x
  2. Step 2: Convert to fraction form
    404.70/558.30 = 304.80/x
  3. Step 3: Cross multiply
    404.70x = 558.30 × 304.80
  4. Step 4: Simplify right side
    404.70x = 170,169.84
  5. Step 5: Solve for x
    x = 170,169.84/404.70
  6. Step 6: Final answer
    x = 420.48

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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.