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Finding the Fourth Proportional to 208.33, 311.89 and 146.42

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Solution

The fourth proportional to 208.33, 311.89 and 146.42 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.33 : 311.89 = 146.42 : x
  2. Step 2: Convert to fraction form
    208.33/311.89 = 146.42/x
  3. Step 3: Cross multiply
    208.33x = 311.89 × 146.42
  4. Step 4: Simplify right side
    208.33x = 45,666.20
  5. Step 5: Solve for x
    x = 45,666.20/208.33
  6. Step 6: Final answer
    x = 219.20

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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.