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Finding the Fourth Proportional to 254.30, 380.82 and 208.76

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Solution

The fourth proportional to 254.30, 380.82 and 208.76 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 380.82 = 208.76 : x
  2. Step 2: Convert to fraction form
    254.30/380.82 = 208.76/x
  3. Step 3: Cross multiply
    254.30x = 380.82 × 208.76
  4. Step 4: Simplify right side
    254.30x = 79,499.98
  5. Step 5: Solve for x
    x = 79,499.98/254.30
  6. Step 6: Final answer
    x = 312.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.