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Finding the Fourth Proportional to 229.27, 342.24 and 212.35

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Solution

The fourth proportional to 229.27, 342.24 and 212.35 is: 316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.27 : 342.24 = 212.35 : x
  2. Step 2: Convert to fraction form
    229.27/342.24 = 212.35/x
  3. Step 3: Cross multiply
    229.27x = 342.24 × 212.35
  4. Step 4: Simplify right side
    229.27x = 72,673.60
  5. Step 5: Solve for x
    x = 72,673.60/229.27
  6. Step 6: Final answer
    x = 316.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.