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Finding the Fourth Proportional to 392.26, 588.41 and 148.81

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Solution

The fourth proportional to 392.26, 588.41 and 148.81 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.26 : 588.41 = 148.81 : x
  2. Step 2: Convert to fraction form
    392.26/588.41 = 148.81/x
  3. Step 3: Cross multiply
    392.26x = 588.41 × 148.81
  4. Step 4: Simplify right side
    392.26x = 87,557.61
  5. Step 5: Solve for x
    x = 87,557.61/392.26
  6. Step 6: Final answer
    x = 223.21

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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.