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Finding the Fourth Proportional to 391.96, 588.02 and 118.05

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Solution

The fourth proportional to 391.96, 588.02 and 118.05 is: 177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.96 : 588.02 = 118.05 : x
  2. Step 2: Convert to fraction form
    391.96/588.02 = 118.05/x
  3. Step 3: Cross multiply
    391.96x = 588.02 × 118.05
  4. Step 4: Simplify right side
    391.96x = 69,415.76
  5. Step 5: Solve for x
    x = 69,415.76/391.96
  6. Step 6: Final answer
    x = 177.10

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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.