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Finding the Fourth Proportional to 230.72, 316.30 and 224.60

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Solution

The fourth proportional to 230.72, 316.30 and 224.60 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 316.30 = 224.60 : x
  2. Step 2: Convert to fraction form
    230.72/316.30 = 224.60/x
  3. Step 3: Cross multiply
    230.72x = 316.30 × 224.60
  4. Step 4: Simplify right side
    230.72x = 71,040.98
  5. Step 5: Solve for x
    x = 71,040.98/230.72
  6. Step 6: Final answer
    x = 307.91

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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.