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Finding the Fourth Proportional to 392.18, 539.97 and 345.38

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Solution

The fourth proportional to 392.18, 539.97 and 345.38 is: 475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 539.97 = 345.38 : x
  2. Step 2: Convert to fraction form
    392.18/539.97 = 345.38/x
  3. Step 3: Cross multiply
    392.18x = 539.97 × 345.38
  4. Step 4: Simplify right side
    392.18x = 186,494.84
  5. Step 5: Solve for x
    x = 186,494.84/392.18
  6. Step 6: Final answer
    x = 475.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.