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Finding the Fourth Proportional to 317.33, 437.90 and 199.27

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Solution

The fourth proportional to 317.33, 437.90 and 199.27 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.33 : 437.90 = 199.27 : x
  2. Step 2: Convert to fraction form
    317.33/437.90 = 199.27/x
  3. Step 3: Cross multiply
    317.33x = 437.90 × 199.27
  4. Step 4: Simplify right side
    317.33x = 87,260.33
  5. Step 5: Solve for x
    x = 87,260.33/317.33
  6. Step 6: Final answer
    x = 274.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.