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Finding the Fourth Proportional to 383.92, 529.12 and 272.80

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Solution

The fourth proportional to 383.92, 529.12 and 272.80 is: 375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.92 : 529.12 = 272.80 : x
  2. Step 2: Convert to fraction form
    383.92/529.12 = 272.80/x
  3. Step 3: Cross multiply
    383.92x = 529.12 × 272.80
  4. Step 4: Simplify right side
    383.92x = 144,343.94
  5. Step 5: Solve for x
    x = 144,343.94/383.92
  6. Step 6: Final answer
    x = 375.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.