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Finding the Fourth Proportional to 317.40, 437.89 and 199.48

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Solution

The fourth proportional to 317.40, 437.89 and 199.48 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.40 : 437.89 = 199.48 : x
  2. Step 2: Convert to fraction form
    317.40/437.89 = 199.48/x
  3. Step 3: Cross multiply
    317.40x = 437.89 × 199.48
  4. Step 4: Simplify right side
    317.40x = 87,350.30
  5. Step 5: Solve for x
    x = 87,350.30/317.40
  6. Step 6: Final answer
    x = 275.21

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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.