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Finding the Fourth Proportional to 429.48, 640.65 and 361.44

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Solution

The fourth proportional to 429.48, 640.65 and 361.44 is: 539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.48 : 640.65 = 361.44 : x
  2. Step 2: Convert to fraction form
    429.48/640.65 = 361.44/x
  3. Step 3: Cross multiply
    429.48x = 640.65 × 361.44
  4. Step 4: Simplify right side
    429.48x = 231,556.54
  5. Step 5: Solve for x
    x = 231,556.54/429.48
  6. Step 6: Final answer
    x = 539.16

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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.