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Finding the Fourth Proportional to 329.63, 454.58 and 211.46

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Solution

The fourth proportional to 329.63, 454.58 and 211.46 is: 291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.63 : 454.58 = 211.46 : x
  2. Step 2: Convert to fraction form
    329.63/454.58 = 211.46/x
  3. Step 3: Cross multiply
    329.63x = 454.58 × 211.46
  4. Step 4: Simplify right side
    329.63x = 96,122.16
  5. Step 5: Solve for x
    x = 96,122.16/329.63
  6. Step 6: Final answer
    x = 291.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.