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Finding the Fourth Proportional to 224.03, 310.57 and 216.47

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Solution

The fourth proportional to 224.03, 310.57 and 216.47 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.03 : 310.57 = 216.47 : x
  2. Step 2: Convert to fraction form
    224.03/310.57 = 216.47/x
  3. Step 3: Cross multiply
    224.03x = 310.57 × 216.47
  4. Step 4: Simplify right side
    224.03x = 67,229.32
  5. Step 5: Solve for x
    x = 67,229.32/224.03
  6. Step 6: Final answer
    x = 300.09

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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.