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Finding the Fourth Proportional to 329.74, 494.72 and 208.10

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Solution

The fourth proportional to 329.74, 494.72 and 208.10 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.74 : 494.72 = 208.10 : x
  2. Step 2: Convert to fraction form
    329.74/494.72 = 208.10/x
  3. Step 3: Cross multiply
    329.74x = 494.72 × 208.10
  4. Step 4: Simplify right side
    329.74x = 102,951.23
  5. Step 5: Solve for x
    x = 102,951.23/329.74
  6. Step 6: Final answer
    x = 312.22

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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.