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Finding the Fourth Proportional to 473.82, 709.92 and 199.84

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Solution

The fourth proportional to 473.82, 709.92 and 199.84 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.82 : 709.92 = 199.84 : x
  2. Step 2: Convert to fraction form
    473.82/709.92 = 199.84/x
  3. Step 3: Cross multiply
    473.82x = 709.92 × 199.84
  4. Step 4: Simplify right side
    473.82x = 141,870.41
  5. Step 5: Solve for x
    x = 141,870.41/473.82
  6. Step 6: Final answer
    x = 299.42

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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.