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Finding the Fourth Proportional to 298.09, 444.91 and 263.50

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Solution

The fourth proportional to 298.09, 444.91 and 263.50 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 444.91 = 263.50 : x
  2. Step 2: Convert to fraction form
    298.09/444.91 = 263.50/x
  3. Step 3: Cross multiply
    298.09x = 444.91 × 263.50
  4. Step 4: Simplify right side
    298.09x = 117,233.79
  5. Step 5: Solve for x
    x = 117,233.79/298.09
  6. Step 6: Final answer
    x = 393.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.