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Finding the Fourth Proportional to 208.66, 313.02 and 71.74

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Solution

The fourth proportional to 208.66, 313.02 and 71.74 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 313.02 = 71.74 : x
  2. Step 2: Convert to fraction form
    208.66/313.02 = 71.74/x
  3. Step 3: Cross multiply
    208.66x = 313.02 × 71.74
  4. Step 4: Simplify right side
    208.66x = 22,456.05
  5. Step 5: Solve for x
    x = 22,456.05/208.66
  6. Step 6: Final answer
    x = 107.62

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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.