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Finding the Fourth Proportional to 298.74, 409.22 and 295.50

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Solution

The fourth proportional to 298.74, 409.22 and 295.50 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 409.22 = 295.50 : x
  2. Step 2: Convert to fraction form
    298.74/409.22 = 295.50/x
  3. Step 3: Cross multiply
    298.74x = 409.22 × 295.50
  4. Step 4: Simplify right side
    298.74x = 120,925.25
  5. Step 5: Solve for x
    x = 120,925.25/298.74
  6. Step 6: Final answer
    x = 404.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.