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Finding the Fourth Proportional to 391.64, 588.04 and 238.23

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Solution

The fourth proportional to 391.64, 588.04 and 238.23 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 588.04 = 238.23 : x
  2. Step 2: Convert to fraction form
    391.64/588.04 = 238.23/x
  3. Step 3: Cross multiply
    391.64x = 588.04 × 238.23
  4. Step 4: Simplify right side
    391.64x = 140,088.17
  5. Step 5: Solve for x
    x = 140,088.17/391.64
  6. Step 6: Final answer
    x = 357.70

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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.