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Finding the Fourth Proportional to 428.14, 591.06 and 329.68

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Solution

The fourth proportional to 428.14, 591.06 and 329.68 is: 455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 591.06 = 329.68 : x
  2. Step 2: Convert to fraction form
    428.14/591.06 = 329.68/x
  3. Step 3: Cross multiply
    428.14x = 591.06 × 329.68
  4. Step 4: Simplify right side
    428.14x = 194,860.66
  5. Step 5: Solve for x
    x = 194,860.66/428.14
  6. Step 6: Final answer
    x = 455.13

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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.