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Finding the Fourth Proportional to 251.73, 377.03 and 208.29

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Solution

The fourth proportional to 251.73, 377.03 and 208.29 is: 311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.73 : 377.03 = 208.29 : x
  2. Step 2: Convert to fraction form
    251.73/377.03 = 208.29/x
  3. Step 3: Cross multiply
    251.73x = 377.03 × 208.29
  4. Step 4: Simplify right side
    251.73x = 78,533.51
  5. Step 5: Solve for x
    x = 78,533.51/251.73
  6. Step 6: Final answer
    x = 311.98

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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.