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Finding the Fourth Proportional to 428.14, 591.06 and 361.72

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Solution

The fourth proportional to 428.14, 591.06 and 361.72 is: 499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 591.06 = 361.72 : x
  2. Step 2: Convert to fraction form
    428.14/591.06 = 361.72/x
  3. Step 3: Cross multiply
    428.14x = 591.06 × 361.72
  4. Step 4: Simplify right side
    428.14x = 213,798.22
  5. Step 5: Solve for x
    x = 213,798.22/428.14
  6. Step 6: Final answer
    x = 499.37

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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.