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Finding the Fourth Proportional to 428.36, 591.26 and 304.29

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Solution

The fourth proportional to 428.36, 591.26 and 304.29 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 591.26 = 304.29 : x
  2. Step 2: Convert to fraction form
    428.36/591.26 = 304.29/x
  3. Step 3: Cross multiply
    428.36x = 591.26 × 304.29
  4. Step 4: Simplify right side
    428.36x = 179,912.98
  5. Step 5: Solve for x
    x = 179,912.98/428.36
  6. Step 6: Final answer
    x = 420.01

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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.