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Finding the Fourth Proportional to 253.34, 378.08 and 226

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Solution

The fourth proportional to 253.34, 378.08 and 226 is: 337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.34 : 378.08 = 226 : x
  2. Step 2: Convert to fraction form
    253.34/378.08 = 226/x
  3. Step 3: Cross multiply
    253.34x = 378.08 × 226
  4. Step 4: Simplify right side
    253.34x = 85,446.08
  5. Step 5: Solve for x
    x = 85,446.08/253.34
  6. Step 6: Final answer
    x = 337.28

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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.