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Finding the Fourth Proportional to 473.22, 710.31 and 199.47

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Solution

The fourth proportional to 473.22, 710.31 and 199.47 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 710.31 = 199.47 : x
  2. Step 2: Convert to fraction form
    473.22/710.31 = 199.47/x
  3. Step 3: Cross multiply
    473.22x = 710.31 × 199.47
  4. Step 4: Simplify right side
    473.22x = 141,685.54
  5. Step 5: Solve for x
    x = 141,685.54/473.22
  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.