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Finding the Fourth Proportional to 428.40, 591.12 and 241.94

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Solution

The fourth proportional to 428.40, 591.12 and 241.94 is: 333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.40 : 591.12 = 241.94 : x
  2. Step 2: Convert to fraction form
    428.40/591.12 = 241.94/x
  3. Step 3: Cross multiply
    428.40x = 591.12 × 241.94
  4. Step 4: Simplify right side
    428.40x = 143,015.57
  5. Step 5: Solve for x
    x = 143,015.57/428.40
  6. Step 6: Final answer
    x = 333.84

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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.