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Finding the Fourth Proportional to 392.80, 592.14 and 366.37

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Solution

The fourth proportional to 392.80, 592.14 and 366.37 is: 552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 592.14 = 366.37 : x
  2. Step 2: Convert to fraction form
    392.80/592.14 = 366.37/x
  3. Step 3: Cross multiply
    392.80x = 592.14 × 366.37
  4. Step 4: Simplify right side
    392.80x = 216,942.33
  5. Step 5: Solve for x
    x = 216,942.33/392.80
  6. Step 6: Final answer
    x = 552.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.