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Finding the Fourth Proportional to 461.98, 693.42 and 299.80

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Solution

The fourth proportional to 461.98, 693.42 and 299.80 is: 449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 693.42 = 299.80 : x
  2. Step 2: Convert to fraction form
    461.98/693.42 = 299.80/x
  3. Step 3: Cross multiply
    461.98x = 693.42 × 299.80
  4. Step 4: Simplify right side
    461.98x = 207,887.32
  5. Step 5: Solve for x
    x = 207,887.32/461.98
  6. Step 6: Final answer
    x = 449.99

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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.