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Finding the Fourth Proportional to 428.12, 591.10 and 328.36

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Solution

The fourth proportional to 428.12, 591.10 and 328.36 is: 453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 591.10 = 328.36 : x
  2. Step 2: Convert to fraction form
    428.12/591.10 = 328.36/x
  3. Step 3: Cross multiply
    428.12x = 591.10 × 328.36
  4. Step 4: Simplify right side
    428.12x = 194,093.60
  5. Step 5: Solve for x
    x = 194,093.60/428.12
  6. Step 6: Final answer
    x = 453.36

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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.