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Finding the Fourth Proportional to 253.62, 378.45 and 226.38

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Solution

The fourth proportional to 253.62, 378.45 and 226.38 is: 337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 378.45 = 226.38 : x
  2. Step 2: Convert to fraction form
    253.62/378.45 = 226.38/x
  3. Step 3: Cross multiply
    253.62x = 378.45 × 226.38
  4. Step 4: Simplify right side
    253.62x = 85,673.51
  5. Step 5: Solve for x
    x = 85,673.51/253.62
  6. Step 6: Final answer
    x = 337.80

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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.