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Finding the Fourth Proportional to 272.86, 378.41 and 263.14

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Solution

The fourth proportional to 272.86, 378.41 and 263.14 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 378.41 = 263.14 : x
  2. Step 2: Convert to fraction form
    272.86/378.41 = 263.14/x
  3. Step 3: Cross multiply
    272.86x = 378.41 × 263.14
  4. Step 4: Simplify right side
    272.86x = 99,574.81
  5. Step 5: Solve for x
    x = 99,574.81/272.86
  6. Step 6: Final answer
    x = 364.93

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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.