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Finding the Fourth Proportional to 275.54, 411.32 and 234.52

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Solution

The fourth proportional to 275.54, 411.32 and 234.52 is: 350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.54 : 411.32 = 234.52 : x
  2. Step 2: Convert to fraction form
    275.54/411.32 = 234.52/x
  3. Step 3: Cross multiply
    275.54x = 411.32 × 234.52
  4. Step 4: Simplify right side
    275.54x = 96,462.77
  5. Step 5: Solve for x
    x = 96,462.77/275.54
  6. Step 6: Final answer
    x = 350.09

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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.