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Finding the Fourth Proportional to 225.26, 312.29 and 213.55

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Solution

The fourth proportional to 225.26, 312.29 and 213.55 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.26 : 312.29 = 213.55 : x
  2. Step 2: Convert to fraction form
    225.26/312.29 = 213.55/x
  3. Step 3: Cross multiply
    225.26x = 312.29 × 213.55
  4. Step 4: Simplify right side
    225.26x = 66,689.53
  5. Step 5: Solve for x
    x = 66,689.53/225.26
  6. Step 6: Final answer
    x = 296.06

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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.