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Finding the Fourth Proportional to 362.62, 546.38 and 328.42

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Solution

The fourth proportional to 362.62, 546.38 and 328.42 is: 494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 546.38 = 328.42 : x
  2. Step 2: Convert to fraction form
    362.62/546.38 = 328.42/x
  3. Step 3: Cross multiply
    362.62x = 546.38 × 328.42
  4. Step 4: Simplify right side
    362.62x = 179,442.12
  5. Step 5: Solve for x
    x = 179,442.12/362.62
  6. Step 6: Final answer
    x = 494.85

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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.