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Finding the Fourth Proportional to 329.84, 453.08 and 267.40

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Solution

The fourth proportional to 329.84, 453.08 and 267.40 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 453.08 = 267.40 : x
  2. Step 2: Convert to fraction form
    329.84/453.08 = 267.40/x
  3. Step 3: Cross multiply
    329.84x = 453.08 × 267.40
  4. Step 4: Simplify right side
    329.84x = 121,153.59
  5. Step 5: Solve for x
    x = 121,153.59/329.84
  6. Step 6: Final answer
    x = 367.31

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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.