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Finding the Fourth Proportional to 429.20, 591 and 351.44

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Solution

The fourth proportional to 429.20, 591 and 351.44 is: 483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 591 = 351.44 : x
  2. Step 2: Convert to fraction form
    429.20/591 = 351.44/x
  3. Step 3: Cross multiply
    429.20x = 591 × 351.44
  4. Step 4: Simplify right side
    429.20x = 207,701.04
  5. Step 5: Solve for x
    x = 207,701.04/429.20
  6. Step 6: Final answer
    x = 483.93

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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.