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Finding the Fourth Proportional to 329.39, 454.64 and 187.64

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Solution

The fourth proportional to 329.39, 454.64 and 187.64 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.39 : 454.64 = 187.64 : x
  2. Step 2: Convert to fraction form
    329.39/454.64 = 187.64/x
  3. Step 3: Cross multiply
    329.39x = 454.64 × 187.64
  4. Step 4: Simplify right side
    329.39x = 85,308.65
  5. Step 5: Solve for x
    x = 85,308.65/329.39
  6. Step 6: Final answer
    x = 258.99

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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.