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Finding the Fourth Proportional to 224.64, 308.16 and 219.24

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Solution

The fourth proportional to 224.64, 308.16 and 219.24 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.64 : 308.16 = 219.24 : x
  2. Step 2: Convert to fraction form
    224.64/308.16 = 219.24/x
  3. Step 3: Cross multiply
    224.64x = 308.16 × 219.24
  4. Step 4: Simplify right side
    224.64x = 67,561.00
  5. Step 5: Solve for x
    x = 67,561.00/224.64
  6. Step 6: Final answer
    x = 300.75

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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.