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Finding the Fourth Proportional to 329.69, 493.71 and 207.56

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Solution

The fourth proportional to 329.69, 493.71 and 207.56 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 493.71 = 207.56 : x
  2. Step 2: Convert to fraction form
    329.69/493.71 = 207.56/x
  3. Step 3: Cross multiply
    329.69x = 493.71 × 207.56
  4. Step 4: Simplify right side
    329.69x = 102,474.45
  5. Step 5: Solve for x
    x = 102,474.45/329.69
  6. Step 6: Final answer
    x = 310.82

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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.