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Finding the Fourth Proportional to 665, 998 and 269.76

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Solution

The fourth proportional to 665, 998 and 269.76 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665 : 998 = 269.76 : x
  2. Step 2: Convert to fraction form
    665/998 = 269.76/x
  3. Step 3: Cross multiply
    665x = 998 × 269.76
  4. Step 4: Simplify right side
    665x = 269,220.48
  5. Step 5: Solve for x
    x = 269,220.48/665
  6. Step 6: Final answer
    x = 404.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.