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Finding the Fourth Proportional to 224.94, 312 and 216.74

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Solution

The fourth proportional to 224.94, 312 and 216.74 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 312 = 216.74 : x
  2. Step 2: Convert to fraction form
    224.94/312 = 216.74/x
  3. Step 3: Cross multiply
    224.94x = 312 × 216.74
  4. Step 4: Simplify right side
    224.94x = 67,622.88
  5. Step 5: Solve for x
    x = 67,622.88/224.94
  6. Step 6: Final answer
    x = 300.63

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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.