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Finding the Fourth Proportional to 329.89, 454.93 and 256.18

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Solution

The fourth proportional to 329.89, 454.93 and 256.18 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.89 : 454.93 = 256.18 : x
  2. Step 2: Convert to fraction form
    329.89/454.93 = 256.18/x
  3. Step 3: Cross multiply
    329.89x = 454.93 × 256.18
  4. Step 4: Simplify right side
    329.89x = 116,543.97
  5. Step 5: Solve for x
    x = 116,543.97/329.89
  6. Step 6: Final answer
    x = 353.28

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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.