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Finding the Fourth Proportional to 429.22, 642.45 and 363.61

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Solution

The fourth proportional to 429.22, 642.45 and 363.61 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.22 : 642.45 = 363.61 : x
  2. Step 2: Convert to fraction form
    429.22/642.45 = 363.61/x
  3. Step 3: Cross multiply
    429.22x = 642.45 × 363.61
  4. Step 4: Simplify right side
    429.22x = 233,598.03
  5. Step 5: Solve for x
    x = 233,598.03/429.22
  6. Step 6: Final answer
    x = 544.24

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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.