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Finding the Fourth Proportional to 274.40, 409.50 and 213.20

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Solution

The fourth proportional to 274.40, 409.50 and 213.20 is: 318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.40 : 409.50 = 213.20 : x
  2. Step 2: Convert to fraction form
    274.40/409.50 = 213.20/x
  3. Step 3: Cross multiply
    274.40x = 409.50 × 213.20
  4. Step 4: Simplify right side
    274.40x = 87,305.40
  5. Step 5: Solve for x
    x = 87,305.40/274.40
  6. Step 6: Final answer
    x = 318.17

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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.