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Finding the Fourth Proportional to 392.25, 588.39 and 362.50

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Solution

The fourth proportional to 392.25, 588.39 and 362.50 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 588.39 = 362.50 : x
  2. Step 2: Convert to fraction form
    392.25/588.39 = 362.50/x
  3. Step 3: Cross multiply
    392.25x = 588.39 × 362.50
  4. Step 4: Simplify right side
    392.25x = 213,291.38
  5. Step 5: Solve for x
    x = 213,291.38/392.25
  6. Step 6: Final answer
    x = 543.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.