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Finding the Fourth Proportional to 392.07, 588.11 and 160.91

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Solution

The fourth proportional to 392.07, 588.11 and 160.91 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.07 : 588.11 = 160.91 : x
  2. Step 2: Convert to fraction form
    392.07/588.11 = 160.91/x
  3. Step 3: Cross multiply
    392.07x = 588.11 × 160.91
  4. Step 4: Simplify right side
    392.07x = 94,629.04
  5. Step 5: Solve for x
    x = 94,629.04/392.07
  6. Step 6: Final answer
    x = 241.36

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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.