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Finding the Fourth Proportional to 665.56, 997.36 and 299.84

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Solution

The fourth proportional to 665.56, 997.36 and 299.84 is: 449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 997.36 = 299.84 : x
  2. Step 2: Convert to fraction form
    665.56/997.36 = 299.84/x
  3. Step 3: Cross multiply
    665.56x = 997.36 × 299.84
  4. Step 4: Simplify right side
    665.56x = 299,048.42
  5. Step 5: Solve for x
    x = 299,048.42/665.56
  6. Step 6: Final answer
    x = 449.32

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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.