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Finding the Fourth Proportional to 225.38, 312.47 and 213.08

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Solution

The fourth proportional to 225.38, 312.47 and 213.08 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 312.47 = 213.08 : x
  2. Step 2: Convert to fraction form
    225.38/312.47 = 213.08/x
  3. Step 3: Cross multiply
    225.38x = 312.47 × 213.08
  4. Step 4: Simplify right side
    225.38x = 66,581.11
  5. Step 5: Solve for x
    x = 66,581.11/225.38
  6. Step 6: Final answer
    x = 295.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.