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Finding the Fourth Proportional to 392.45, 588.57 and 186.98

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Solution

The fourth proportional to 392.45, 588.57 and 186.98 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 588.57 = 186.98 : x
  2. Step 2: Convert to fraction form
    392.45/588.57 = 186.98/x
  3. Step 3: Cross multiply
    392.45x = 588.57 × 186.98
  4. Step 4: Simplify right side
    392.45x = 110,047.17
  5. Step 5: Solve for x
    x = 110,047.17/392.45
  6. Step 6: Final answer
    x = 280.41

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