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Finding the Fourth Proportional to 275.26, 410.78 and 234.76

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Solution

The fourth proportional to 275.26, 410.78 and 234.76 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.26 : 410.78 = 234.76 : x
  2. Step 2: Convert to fraction form
    275.26/410.78 = 234.76/x
  3. Step 3: Cross multiply
    275.26x = 410.78 × 234.76
  4. Step 4: Simplify right side
    275.26x = 96,434.71
  5. Step 5: Solve for x
    x = 96,434.71/275.26
  6. Step 6: Final answer
    x = 350.34

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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.