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Finding the Fourth Proportional to 298.36, 409.54 and 264.88

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Solution

The fourth proportional to 298.36, 409.54 and 264.88 is: 363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 409.54 = 264.88 : x
  2. Step 2: Convert to fraction form
    298.36/409.54 = 264.88/x
  3. Step 3: Cross multiply
    298.36x = 409.54 × 264.88
  4. Step 4: Simplify right side
    298.36x = 108,478.96
  5. Step 5: Solve for x
    x = 108,478.96/298.36
  6. Step 6: Final answer
    x = 363.58

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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.