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Finding the Fourth Proportional to 329.19, 454.59 and 280.05

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Solution

The fourth proportional to 329.19, 454.59 and 280.05 is: 386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.19 : 454.59 = 280.05 : x
  2. Step 2: Convert to fraction form
    329.19/454.59 = 280.05/x
  3. Step 3: Cross multiply
    329.19x = 454.59 × 280.05
  4. Step 4: Simplify right side
    329.19x = 127,307.93
  5. Step 5: Solve for x
    x = 127,307.93/329.19
  6. Step 6: Final answer
    x = 386.73

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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.