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Finding the Fourth Proportional to 404.28, 606.48 and 313.20

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Solution

The fourth proportional to 404.28, 606.48 and 313.20 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.28 : 606.48 = 313.20 : x
  2. Step 2: Convert to fraction form
    404.28/606.48 = 313.20/x
  3. Step 3: Cross multiply
    404.28x = 606.48 × 313.20
  4. Step 4: Simplify right side
    404.28x = 189,949.54
  5. Step 5: Solve for x
    x = 189,949.54/404.28
  6. Step 6: Final answer
    x = 469.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.