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Finding the Fourth Proportional to 224.96, 308.20 and 216.32

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Solution

The fourth proportional to 224.96, 308.20 and 216.32 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 308.20 = 216.32 : x
  2. Step 2: Convert to fraction form
    224.96/308.20 = 216.32/x
  3. Step 3: Cross multiply
    224.96x = 308.20 × 216.32
  4. Step 4: Simplify right side
    224.96x = 66,669.82
  5. Step 5: Solve for x
    x = 66,669.82/224.96
  6. Step 6: Final answer
    x = 296.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.