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Finding the Fourth Proportional to 225.72, 310.38 and 214.68

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Solution

The fourth proportional to 225.72, 310.38 and 214.68 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 310.38 = 214.68 : x
  2. Step 2: Convert to fraction form
    225.72/310.38 = 214.68/x
  3. Step 3: Cross multiply
    225.72x = 310.38 × 214.68
  4. Step 4: Simplify right side
    225.72x = 66,632.38
  5. Step 5: Solve for x
    x = 66,632.38/225.72
  6. Step 6: Final answer
    x = 295.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.