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Finding the Fourth Proportional to 392.64, 541.92 and 289.92

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Solution

The fourth proportional to 392.64, 541.92 and 289.92 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 541.92 = 289.92 : x
  2. Step 2: Convert to fraction form
    392.64/541.92 = 289.92/x
  3. Step 3: Cross multiply
    392.64x = 541.92 × 289.92
  4. Step 4: Simplify right side
    392.64x = 157,113.45
  5. Step 5: Solve for x
    x = 157,113.45/392.64
  6. Step 6: Final answer
    x = 400.15

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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.