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Finding the Fourth Proportional to 237.36, 353.64 and 225.12

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Solution

The fourth proportional to 237.36, 353.64 and 225.12 is: 335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 353.64 = 225.12 : x
  2. Step 2: Convert to fraction form
    237.36/353.64 = 225.12/x
  3. Step 3: Cross multiply
    237.36x = 353.64 × 225.12
  4. Step 4: Simplify right side
    237.36x = 79,611.44
  5. Step 5: Solve for x
    x = 79,611.44/237.36
  6. Step 6: Final answer
    x = 335.40

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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.