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Finding the Fourth Proportional to 473.50, 709.78 and 199.74

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Solution

The fourth proportional to 473.50, 709.78 and 199.74 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 709.78 = 199.74 : x
  2. Step 2: Convert to fraction form
    473.50/709.78 = 199.74/x
  3. Step 3: Cross multiply
    473.50x = 709.78 × 199.74
  4. Step 4: Simplify right side
    473.50x = 141,772.73
  5. Step 5: Solve for x
    x = 141,772.73/473.50
  6. Step 6: Final answer
    x = 299.41

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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.