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Finding the Fourth Proportional to 229.37, 316.31 and 203.31

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Solution

The fourth proportional to 229.37, 316.31 and 203.31 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.37 : 316.31 = 203.31 : x
  2. Step 2: Convert to fraction form
    229.37/316.31 = 203.31/x
  3. Step 3: Cross multiply
    229.37x = 316.31 × 203.31
  4. Step 4: Simplify right side
    229.37x = 64,307.97
  5. Step 5: Solve for x
    x = 64,307.97/229.37
  6. Step 6: Final answer
    x = 280.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.