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Finding the Fourth Proportional to 428.25, 641.75 and 341.19

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Solution

The fourth proportional to 428.25, 641.75 and 341.19 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 641.75 = 341.19 : x
  2. Step 2: Convert to fraction form
    428.25/641.75 = 341.19/x
  3. Step 3: Cross multiply
    428.25x = 641.75 × 341.19
  4. Step 4: Simplify right side
    428.25x = 218,953.77
  5. Step 5: Solve for x
    x = 218,953.77/428.25
  6. Step 6: Final answer
    x = 511.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.