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Finding the Fourth Proportional to 329.48, 453.78 and 309.32

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Solution

The fourth proportional to 329.48, 453.78 and 309.32 is: 426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 453.78 = 309.32 : x
  2. Step 2: Convert to fraction form
    329.48/453.78 = 309.32/x
  3. Step 3: Cross multiply
    329.48x = 453.78 × 309.32
  4. Step 4: Simplify right side
    329.48x = 140,363.23
  5. Step 5: Solve for x
    x = 140,363.23/329.48
  6. Step 6: Final answer
    x = 426.01

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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.