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Finding the Fourth Proportional to 391.81, 587.60 and 135.25

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Solution

The fourth proportional to 391.81, 587.60 and 135.25 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.81 : 587.60 = 135.25 : x
  2. Step 2: Convert to fraction form
    391.81/587.60 = 135.25/x
  3. Step 3: Cross multiply
    391.81x = 587.60 × 135.25
  4. Step 4: Simplify right side
    391.81x = 79,472.22
  5. Step 5: Solve for x
    x = 79,472.22/391.81
  6. Step 6: Final answer
    x = 202.83

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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.