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Finding the Fourth Proportional to 253.36, 381.56 and 213.04

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Solution

The fourth proportional to 253.36, 381.56 and 213.04 is: 320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 381.56 = 213.04 : x
  2. Step 2: Convert to fraction form
    253.36/381.56 = 213.04/x
  3. Step 3: Cross multiply
    253.36x = 381.56 × 213.04
  4. Step 4: Simplify right side
    253.36x = 81,287.54
  5. Step 5: Solve for x
    x = 81,287.54/253.36
  6. Step 6: Final answer
    x = 320.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.