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Finding the Fourth Proportional to 391.76, 589.08 and 270.80

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Solution

The fourth proportional to 391.76, 589.08 and 270.80 is: 407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.76 : 589.08 = 270.80 : x
  2. Step 2: Convert to fraction form
    391.76/589.08 = 270.80/x
  3. Step 3: Cross multiply
    391.76x = 589.08 × 270.80
  4. Step 4: Simplify right side
    391.76x = 159,522.86
  5. Step 5: Solve for x
    x = 159,522.86/391.76
  6. Step 6: Final answer
    x = 407.20

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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.