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Finding the Fourth Proportional to 329.59, 454.57 and 256.11

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Solution

The fourth proportional to 329.59, 454.57 and 256.11 is: 353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.59 : 454.57 = 256.11 : x
  2. Step 2: Convert to fraction form
    329.59/454.57 = 256.11/x
  3. Step 3: Cross multiply
    329.59x = 454.57 × 256.11
  4. Step 4: Simplify right side
    329.59x = 116,419.92
  5. Step 5: Solve for x
    x = 116,419.92/329.59
  6. Step 6: Final answer
    x = 353.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.