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Finding the Fourth Proportional to 274.12, 409.17 and 269.32

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Solution

The fourth proportional to 274.12, 409.17 and 269.32 is: 402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 409.17 = 269.32 : x
  2. Step 2: Convert to fraction form
    274.12/409.17 = 269.32/x
  3. Step 3: Cross multiply
    274.12x = 409.17 × 269.32
  4. Step 4: Simplify right side
    274.12x = 110,197.66
  5. Step 5: Solve for x
    x = 110,197.66/274.12
  6. Step 6: Final answer
    x = 402.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.