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Finding the Fourth Proportional to 253.66, 381.36 and 221.80

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Solution

The fourth proportional to 253.66, 381.36 and 221.80 is: 333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.66 : 381.36 = 221.80 : x
  2. Step 2: Convert to fraction form
    253.66/381.36 = 221.80/x
  3. Step 3: Cross multiply
    253.66x = 381.36 × 221.80
  4. Step 4: Simplify right side
    253.66x = 84,583.74
  5. Step 5: Solve for x
    x = 84,583.74/253.66
  6. Step 6: Final answer
    x = 333.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.