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Finding the Fourth Proportional to 317.30, 437.75 and 199.21

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Solution

The fourth proportional to 317.30, 437.75 and 199.21 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 437.75 = 199.21 : x
  2. Step 2: Convert to fraction form
    317.30/437.75 = 199.21/x
  3. Step 3: Cross multiply
    317.30x = 437.75 × 199.21
  4. Step 4: Simplify right side
    317.30x = 87,204.18
  5. Step 5: Solve for x
    x = 87,204.18/317.30
  6. Step 6: Final answer
    x = 274.83

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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.