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Finding the Fourth Proportional to 231.10, 344.16 and 217.13

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Solution

The fourth proportional to 231.10, 344.16 and 217.13 is: 323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 344.16 = 217.13 : x
  2. Step 2: Convert to fraction form
    231.10/344.16 = 217.13/x
  3. Step 3: Cross multiply
    231.10x = 344.16 × 217.13
  4. Step 4: Simplify right side
    231.10x = 74,725.74
  5. Step 5: Solve for x
    x = 74,725.74/231.10
  6. Step 6: Final answer
    x = 323.35

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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.