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Finding the Fourth Proportional to 329.10, 452.88 and 291.84

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Solution

The fourth proportional to 329.10, 452.88 and 291.84 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 452.88 = 291.84 : x
  2. Step 2: Convert to fraction form
    329.10/452.88 = 291.84/x
  3. Step 3: Cross multiply
    329.10x = 452.88 × 291.84
  4. Step 4: Simplify right side
    329.10x = 132,168.50
  5. Step 5: Solve for x
    x = 132,168.50/329.10
  6. Step 6: Final answer
    x = 401.61

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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.