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Finding the Fourth Proportional to 427.10, 642.90 and 364.46

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Solution

The fourth proportional to 427.10, 642.90 and 364.46 is: 548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.10 : 642.90 = 364.46 : x
  2. Step 2: Convert to fraction form
    427.10/642.90 = 364.46/x
  3. Step 3: Cross multiply
    427.10x = 642.90 × 364.46
  4. Step 4: Simplify right side
    427.10x = 234,308.12
  5. Step 5: Solve for x
    x = 234,308.12/427.10
  6. Step 6: Final answer
    x = 548.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.