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Finding the Fourth Proportional to 428.43, 591.11 and 262.47

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Solution

The fourth proportional to 428.43, 591.11 and 262.47 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.43 : 591.11 = 262.47 : x
  2. Step 2: Convert to fraction form
    428.43/591.11 = 262.47/x
  3. Step 3: Cross multiply
    428.43x = 591.11 × 262.47
  4. Step 4: Simplify right side
    428.43x = 155,147.33
  5. Step 5: Solve for x
    x = 155,147.33/428.43
  6. Step 6: Final answer
    x = 362.13

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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.