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Finding the Fourth Proportional to 298.69, 412.34 and 225.04

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Solution

The fourth proportional to 298.69, 412.34 and 225.04 is: 310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 412.34 = 225.04 : x
  2. Step 2: Convert to fraction form
    298.69/412.34 = 225.04/x
  3. Step 3: Cross multiply
    298.69x = 412.34 × 225.04
  4. Step 4: Simplify right side
    298.69x = 92,789.81
  5. Step 5: Solve for x
    x = 92,789.81/298.69
  6. Step 6: Final answer
    x = 310.66

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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.