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Finding the Fourth Proportional to 272.58, 378.77 and 269.15

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Solution

The fourth proportional to 272.58, 378.77 and 269.15 is: 373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 378.77 = 269.15 : x
  2. Step 2: Convert to fraction form
    272.58/378.77 = 269.15/x
  3. Step 3: Cross multiply
    272.58x = 378.77 × 269.15
  4. Step 4: Simplify right side
    272.58x = 101,942.71
  5. Step 5: Solve for x
    x = 101,942.71/272.58
  6. Step 6: Final answer
    x = 373.99

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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.