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Finding the Fourth Proportional to 251.64, 376.85 and 208.04

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Solution

The fourth proportional to 251.64, 376.85 and 208.04 is: 311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.64 : 376.85 = 208.04 : x
  2. Step 2: Convert to fraction form
    251.64/376.85 = 208.04/x
  3. Step 3: Cross multiply
    251.64x = 376.85 × 208.04
  4. Step 4: Simplify right side
    251.64x = 78,398.51
  5. Step 5: Solve for x
    x = 78,398.51/251.64
  6. Step 6: Final answer
    x = 311.55

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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.