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Finding the Fourth Proportional to 429.92, 641.20 and 365.34

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Solution

The fourth proportional to 429.92, 641.20 and 365.34 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.92 : 641.20 = 365.34 : x
  2. Step 2: Convert to fraction form
    429.92/641.20 = 365.34/x
  3. Step 3: Cross multiply
    429.92x = 641.20 × 365.34
  4. Step 4: Simplify right side
    429.92x = 234,256.01
  5. Step 5: Solve for x
    x = 234,256.01/429.92
  6. Step 6: Final answer
    x = 544.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.