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Finding the Fourth Proportional to 428.80, 591.75 and 251.89

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Solution

The fourth proportional to 428.80, 591.75 and 251.89 is: 347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.80 : 591.75 = 251.89 : x
  2. Step 2: Convert to fraction form
    428.80/591.75 = 251.89/x
  3. Step 3: Cross multiply
    428.80x = 591.75 × 251.89
  4. Step 4: Simplify right side
    428.80x = 149,051.69
  5. Step 5: Solve for x
    x = 149,051.69/428.80
  6. Step 6: Final answer
    x = 347.61

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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.