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Finding the Fourth Proportional to 253.62, 378.45 and 226.35

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Solution

The fourth proportional to 253.62, 378.45 and 226.35 is: 337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 378.45 = 226.35 : x
  2. Step 2: Convert to fraction form
    253.62/378.45 = 226.35/x
  3. Step 3: Cross multiply
    253.62x = 378.45 × 226.35
  4. Step 4: Simplify right side
    253.62x = 85,662.16
  5. Step 5: Solve for x
    x = 85,662.16/253.62
  6. Step 6: Final answer
    x = 337.76

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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.