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Finding the Fourth Proportional to 392.88, 592.02 and 390.48

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Solution

The fourth proportional to 392.88, 592.02 and 390.48 is: 588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 592.02 = 390.48 : x
  2. Step 2: Convert to fraction form
    392.88/592.02 = 390.48/x
  3. Step 3: Cross multiply
    392.88x = 592.02 × 390.48
  4. Step 4: Simplify right side
    392.88x = 231,171.97
  5. Step 5: Solve for x
    x = 231,171.97/392.88
  6. Step 6: Final answer
    x = 588.40

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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.