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Finding the Fourth Proportional to 231.45, 348.91 and 216.17

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Solution

The fourth proportional to 231.45, 348.91 and 216.17 is: 325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.45 : 348.91 = 216.17 : x
  2. Step 2: Convert to fraction form
    231.45/348.91 = 216.17/x
  3. Step 3: Cross multiply
    231.45x = 348.91 × 216.17
  4. Step 4: Simplify right side
    231.45x = 75,424.21
  5. Step 5: Solve for x
    x = 75,424.21/231.45
  6. Step 6: Final answer
    x = 325.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.