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Finding the Fourth Proportional to 392.92, 543.18 and 294.64

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Solution

The fourth proportional to 392.92, 543.18 and 294.64 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 543.18 = 294.64 : x
  2. Step 2: Convert to fraction form
    392.92/543.18 = 294.64/x
  3. Step 3: Cross multiply
    392.92x = 543.18 × 294.64
  4. Step 4: Simplify right side
    392.92x = 160,042.56
  5. Step 5: Solve for x
    x = 160,042.56/392.92
  6. Step 6: Final answer
    x = 407.32

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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.