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Finding the Fourth Proportional to 429.12, 642.60 and 360.48

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Solution

The fourth proportional to 429.12, 642.60 and 360.48 is: 539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 642.60 = 360.48 : x
  2. Step 2: Convert to fraction form
    429.12/642.60 = 360.48/x
  3. Step 3: Cross multiply
    429.12x = 642.60 × 360.48
  4. Step 4: Simplify right side
    429.12x = 231,644.45
  5. Step 5: Solve for x
    x = 231,644.45/429.12
  6. Step 6: Final answer
    x = 539.81

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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.