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Finding the Fourth Proportional to 275.10, 411.67 and 231.81

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Solution

The fourth proportional to 275.10, 411.67 and 231.81 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 411.67 = 231.81 : x
  2. Step 2: Convert to fraction form
    275.10/411.67 = 231.81/x
  3. Step 3: Cross multiply
    275.10x = 411.67 × 231.81
  4. Step 4: Simplify right side
    275.10x = 95,429.22
  5. Step 5: Solve for x
    x = 95,429.22/275.10
  6. Step 6: Final answer
    x = 346.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.