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Finding the Fourth Proportional to 225.36, 335.76 and 213.12

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Solution

The fourth proportional to 225.36, 335.76 and 213.12 is: 317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.36 : 335.76 = 213.12 : x
  2. Step 2: Convert to fraction form
    225.36/335.76 = 213.12/x
  3. Step 3: Cross multiply
    225.36x = 335.76 × 213.12
  4. Step 4: Simplify right side
    225.36x = 71,557.17
  5. Step 5: Solve for x
    x = 71,557.17/225.36
  6. Step 6: Final answer
    x = 317.52

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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.