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Finding the Fourth Proportional to 272.92, 378.62 and 262.90

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Solution

The fourth proportional to 272.92, 378.62 and 262.90 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.92 : 378.62 = 262.90 : x
  2. Step 2: Convert to fraction form
    272.92/378.62 = 262.90/x
  3. Step 3: Cross multiply
    272.92x = 378.62 × 262.90
  4. Step 4: Simplify right side
    272.92x = 99,538.69
  5. Step 5: Solve for x
    x = 99,538.69/272.92
  6. Step 6: Final answer
    x = 364.72

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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.