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Finding the Fourth Proportional to 282.32, 391.58 and 270.80

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Solution

The fourth proportional to 282.32, 391.58 and 270.80 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.32 : 391.58 = 270.80 : x
  2. Step 2: Convert to fraction form
    282.32/391.58 = 270.80/x
  3. Step 3: Cross multiply
    282.32x = 391.58 × 270.80
  4. Step 4: Simplify right side
    282.32x = 106,039.86
  5. Step 5: Solve for x
    x = 106,039.86/282.32
  6. Step 6: Final answer
    x = 375.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.