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Finding the Fourth Proportional to 392.04, 537.84 and 367.20

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Solution

The fourth proportional to 392.04, 537.84 and 367.20 is: 503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.04 : 537.84 = 367.20 : x
  2. Step 2: Convert to fraction form
    392.04/537.84 = 367.20/x
  3. Step 3: Cross multiply
    392.04x = 537.84 × 367.20
  4. Step 4: Simplify right side
    392.04x = 197,494.85
  5. Step 5: Solve for x
    x = 197,494.85/392.04
  6. Step 6: Final answer
    x = 503.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.