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Finding the Fourth Proportional to 229.20, 342.14 and 212.31

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Solution

The fourth proportional to 229.20, 342.14 and 212.31 is: 316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 342.14 = 212.31 : x
  2. Step 2: Convert to fraction form
    229.20/342.14 = 212.31/x
  3. Step 3: Cross multiply
    229.20x = 342.14 × 212.31
  4. Step 4: Simplify right side
    229.20x = 72,639.84
  5. Step 5: Solve for x
    x = 72,639.84/229.20
  6. Step 6: Final answer
    x = 316.92

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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.