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Finding the Fourth Proportional to 329.27, 454.16 and 267.10

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Solution

The fourth proportional to 329.27, 454.16 and 267.10 is: 368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.27 : 454.16 = 267.10 : x
  2. Step 2: Convert to fraction form
    329.27/454.16 = 267.10/x
  3. Step 3: Cross multiply
    329.27x = 454.16 × 267.10
  4. Step 4: Simplify right side
    329.27x = 121,302.53
  5. Step 5: Solve for x
    x = 121,302.53/329.27
  6. Step 6: Final answer
    x = 368.40

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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.