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Finding the Fourth Proportional to 429.13, 589.65 and 350.26

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Solution

The fourth proportional to 429.13, 589.65 and 350.26 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.13 : 589.65 = 350.26 : x
  2. Step 2: Convert to fraction form
    429.13/589.65 = 350.26/x
  3. Step 3: Cross multiply
    429.13x = 589.65 × 350.26
  4. Step 4: Simplify right side
    429.13x = 206,528.02
  5. Step 5: Solve for x
    x = 206,528.02/429.13
  6. Step 6: Final answer
    x = 481.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.