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Finding the Fourth Proportional to 230.56, 343.92 and 215.04

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Solution

The fourth proportional to 230.56, 343.92 and 215.04 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 343.92 = 215.04 : x
  2. Step 2: Convert to fraction form
    230.56/343.92 = 215.04/x
  3. Step 3: Cross multiply
    230.56x = 343.92 × 215.04
  4. Step 4: Simplify right side
    230.56x = 73,956.56
  5. Step 5: Solve for x
    x = 73,956.56/230.56
  6. Step 6: Final answer
    x = 320.77

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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.