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Finding the Fourth Proportional to 208.08, 312.11 and 54.00

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Solution

The fourth proportional to 208.08, 312.11 and 54.00 is: 81.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 312.11 = 54.00 : x
  2. Step 2: Convert to fraction form
    208.08/312.11 = 54.00/x
  3. Step 3: Cross multiply
    208.08x = 312.11 × 54.00
  4. Step 4: Simplify right side
    208.08x = 16,854.86
  5. Step 5: Solve for x
    x = 16,854.86/208.08
  6. Step 6: Final answer
    x = 81.00

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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.