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Finding the Fourth Proportional to 208.16, 311.96 and 99.76

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Solution

The fourth proportional to 208.16, 311.96 and 99.76 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 311.96 = 99.76 : x
  2. Step 2: Convert to fraction form
    208.16/311.96 = 99.76/x
  3. Step 3: Cross multiply
    208.16x = 311.96 × 99.76
  4. Step 4: Simplify right side
    208.16x = 31,121.13
  5. Step 5: Solve for x
    x = 31,121.13/208.16
  6. Step 6: Final answer
    x = 149.51

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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.