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Finding the Fourth Proportional to 473.49, 709.51 and 199.43

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Solution

The fourth proportional to 473.49, 709.51 and 199.43 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 709.51 = 199.43 : x
  2. Step 2: Convert to fraction form
    473.49/709.51 = 199.43/x
  3. Step 3: Cross multiply
    473.49x = 709.51 × 199.43
  4. Step 4: Simplify right side
    473.49x = 141,497.58
  5. Step 5: Solve for x
    x = 141,497.58/473.49
  6. Step 6: Final answer
    x = 298.84

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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.