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Finding the Fourth Proportional to 208.04, 311.86 and 99.77

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Solution

The fourth proportional to 208.04, 311.86 and 99.77 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 311.86 = 99.77 : x
  2. Step 2: Convert to fraction form
    208.04/311.86 = 99.77/x
  3. Step 3: Cross multiply
    208.04x = 311.86 × 99.77
  4. Step 4: Simplify right side
    208.04x = 31,114.03
  5. Step 5: Solve for x
    x = 31,114.03/208.04
  6. Step 6: Final answer
    x = 149.56

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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.