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Finding the Fourth Proportional to 392.23, 540.84 and 343.63

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Solution

The fourth proportional to 392.23, 540.84 and 343.63 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.23 : 540.84 = 343.63 : x
  2. Step 2: Convert to fraction form
    392.23/540.84 = 343.63/x
  3. Step 3: Cross multiply
    392.23x = 540.84 × 343.63
  4. Step 4: Simplify right side
    392.23x = 185,848.85
  5. Step 5: Solve for x
    x = 185,848.85/392.23
  6. Step 6: Final answer
    x = 473.83

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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.