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Finding the Fourth Proportional to 329.91, 452.86 and 292.24

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Solution

The fourth proportional to 329.91, 452.86 and 292.24 is: 401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 452.86 = 292.24 : x
  2. Step 2: Convert to fraction form
    329.91/452.86 = 292.24/x
  3. Step 3: Cross multiply
    329.91x = 452.86 × 292.24
  4. Step 4: Simplify right side
    329.91x = 132,343.81
  5. Step 5: Solve for x
    x = 132,343.81/329.91
  6. Step 6: Final answer
    x = 401.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.