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Finding the Fourth Proportional to 206.24, 308.48 and 154.94

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Solution

The fourth proportional to 206.24, 308.48 and 154.94 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 308.48 = 154.94 : x
  2. Step 2: Convert to fraction form
    206.24/308.48 = 154.94/x
  3. Step 3: Cross multiply
    206.24x = 308.48 × 154.94
  4. Step 4: Simplify right side
    206.24x = 47,795.89
  5. Step 5: Solve for x
    x = 47,795.89/206.24
  6. Step 6: Final answer
    x = 231.75

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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.