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Finding the Fourth Proportional to 391.34, 587.26 and 160.42

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Solution

The fourth proportional to 391.34, 587.26 and 160.42 is: 240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.34 : 587.26 = 160.42 : x
  2. Step 2: Convert to fraction form
    391.34/587.26 = 160.42/x
  3. Step 3: Cross multiply
    391.34x = 587.26 × 160.42
  4. Step 4: Simplify right side
    391.34x = 94,208.25
  5. Step 5: Solve for x
    x = 94,208.25/391.34
  6. Step 6: Final answer
    x = 240.73

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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.