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Finding the Fourth Proportional to 230.19, 343.59 and 211.89

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Solution

The fourth proportional to 230.19, 343.59 and 211.89 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.19 : 343.59 = 211.89 : x
  2. Step 2: Convert to fraction form
    230.19/343.59 = 211.89/x
  3. Step 3: Cross multiply
    230.19x = 343.59 × 211.89
  4. Step 4: Simplify right side
    230.19x = 72,803.29
  5. Step 5: Solve for x
    x = 72,803.29/230.19
  6. Step 6: Final answer
    x = 316.27

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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.