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Finding the Fourth Proportional to 392.28, 540.81 and 313.86

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Solution

The fourth proportional to 392.28, 540.81 and 313.86 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 540.81 = 313.86 : x
  2. Step 2: Convert to fraction form
    392.28/540.81 = 313.86/x
  3. Step 3: Cross multiply
    392.28x = 540.81 × 313.86
  4. Step 4: Simplify right side
    392.28x = 169,738.63
  5. Step 5: Solve for x
    x = 169,738.63/392.28
  6. Step 6: Final answer
    x = 432.70

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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.