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Finding the Fourth Proportional to 274.01, 378.06 and 203.82

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Solution

The fourth proportional to 274.01, 378.06 and 203.82 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 378.06 = 203.82 : x
  2. Step 2: Convert to fraction form
    274.01/378.06 = 203.82/x
  3. Step 3: Cross multiply
    274.01x = 378.06 × 203.82
  4. Step 4: Simplify right side
    274.01x = 77,056.19
  5. Step 5: Solve for x
    x = 77,056.19/274.01
  6. Step 6: Final answer
    x = 281.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.