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Finding the Fourth Proportional to 427.64, 642 and 359.60

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Solution

The fourth proportional to 427.64, 642 and 359.60 is: 539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 642 = 359.60 : x
  2. Step 2: Convert to fraction form
    427.64/642 = 359.60/x
  3. Step 3: Cross multiply
    427.64x = 642 × 359.60
  4. Step 4: Simplify right side
    427.64x = 230,863.20
  5. Step 5: Solve for x
    x = 230,863.20/427.64
  6. Step 6: Final answer
    x = 539.85

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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.