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Finding the Fourth Proportional to 473.31, 709.75 and 199.25

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Solution

The fourth proportional to 473.31, 709.75 and 199.25 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 709.75 = 199.25 : x
  2. Step 2: Convert to fraction form
    473.31/709.75 = 199.25/x
  3. Step 3: Cross multiply
    473.31x = 709.75 × 199.25
  4. Step 4: Simplify right side
    473.31x = 141,418.96
  5. Step 5: Solve for x
    x = 141,418.96/473.31
  6. Step 6: Final answer
    x = 298.79

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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.