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Finding the Fourth Proportional to 429.39, 642.87 and 275.49

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Solution

The fourth proportional to 429.39, 642.87 and 275.49 is: 412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.39 : 642.87 = 275.49 : x
  2. Step 2: Convert to fraction form
    429.39/642.87 = 275.49/x
  3. Step 3: Cross multiply
    429.39x = 642.87 × 275.49
  4. Step 4: Simplify right side
    429.39x = 177,104.26
  5. Step 5: Solve for x
    x = 177,104.26/429.39
  6. Step 6: Final answer
    x = 412.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.