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Finding the Fourth Proportional to 298.48, 406.44 and 294.21

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Solution

The fourth proportional to 298.48, 406.44 and 294.21 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 406.44 = 294.21 : x
  2. Step 2: Convert to fraction form
    298.48/406.44 = 294.21/x
  3. Step 3: Cross multiply
    298.48x = 406.44 × 294.21
  4. Step 4: Simplify right side
    298.48x = 119,578.71
  5. Step 5: Solve for x
    x = 119,578.71/298.48
  6. Step 6: Final answer
    x = 400.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.