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Finding the Fourth Proportional to 230.31, 343.35 and 212.04

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Solution

The fourth proportional to 230.31, 343.35 and 212.04 is: 316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.31 : 343.35 = 212.04 : x
  2. Step 2: Convert to fraction form
    230.31/343.35 = 212.04/x
  3. Step 3: Cross multiply
    230.31x = 343.35 × 212.04
  4. Step 4: Simplify right side
    230.31x = 72,803.93
  5. Step 5: Solve for x
    x = 72,803.93/230.31
  6. Step 6: Final answer
    x = 316.11

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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.