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Finding the Fourth Proportional to 404.16, 605.76 and 294.48

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Solution

The fourth proportional to 404.16, 605.76 and 294.48 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 605.76 = 294.48 : x
  2. Step 2: Convert to fraction form
    404.16/605.76 = 294.48/x
  3. Step 3: Cross multiply
    404.16x = 605.76 × 294.48
  4. Step 4: Simplify right side
    404.16x = 178,384.20
  5. Step 5: Solve for x
    x = 178,384.20/404.16
  6. Step 6: Final answer
    x = 441.37

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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.