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Finding the Fourth Proportional to 272.51, 378.07 and 270.19

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Solution

The fourth proportional to 272.51, 378.07 and 270.19 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.51 : 378.07 = 270.19 : x
  2. Step 2: Convert to fraction form
    272.51/378.07 = 270.19/x
  3. Step 3: Cross multiply
    272.51x = 378.07 × 270.19
  4. Step 4: Simplify right side
    272.51x = 102,148.40
  5. Step 5: Solve for x
    x = 102,148.40/272.51
  6. Step 6: Final answer
    x = 374.84

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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.