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Finding the Fourth Proportional to 391.54, 587.34 and 290.08

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Solution

The fourth proportional to 391.54, 587.34 and 290.08 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.54 : 587.34 = 290.08 : x
  2. Step 2: Convert to fraction form
    391.54/587.34 = 290.08/x
  3. Step 3: Cross multiply
    391.54x = 587.34 × 290.08
  4. Step 4: Simplify right side
    391.54x = 170,375.59
  5. Step 5: Solve for x
    x = 170,375.59/391.54
  6. Step 6: Final answer
    x = 435.14

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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.