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Finding the Fourth Proportional to 253.33, 378.13 and 218.70

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Solution

The fourth proportional to 253.33, 378.13 and 218.70 is: 326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.33 : 378.13 = 218.70 : x
  2. Step 2: Convert to fraction form
    253.33/378.13 = 218.70/x
  3. Step 3: Cross multiply
    253.33x = 378.13 × 218.70
  4. Step 4: Simplify right side
    253.33x = 82,697.03
  5. Step 5: Solve for x
    x = 82,697.03/253.33
  6. Step 6: Final answer
    x = 326.44

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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.