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Finding the Fourth Proportional to 329.42, 453.24 and 321.32

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Solution

The fourth proportional to 329.42, 453.24 and 321.32 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.42 : 453.24 = 321.32 : x
  2. Step 2: Convert to fraction form
    329.42/453.24 = 321.32/x
  3. Step 3: Cross multiply
    329.42x = 453.24 × 321.32
  4. Step 4: Simplify right side
    329.42x = 145,632.81
  5. Step 5: Solve for x
    x = 145,632.81/329.42
  6. Step 6: Final answer
    x = 442.10

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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.