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Finding the Fourth Proportional to 272.34, 378.50 and 269.46

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Solution

The fourth proportional to 272.34, 378.50 and 269.46 is: 374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.34 : 378.50 = 269.46 : x
  2. Step 2: Convert to fraction form
    272.34/378.50 = 269.46/x
  3. Step 3: Cross multiply
    272.34x = 378.50 × 269.46
  4. Step 4: Simplify right side
    272.34x = 101,989.26
  5. Step 5: Solve for x
    x = 101,989.26/272.34
  6. Step 6: Final answer
    x = 374.49

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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.