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Finding the Fourth Proportional to 275.24, 414.39 and 230.28

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Solution

The fourth proportional to 275.24, 414.39 and 230.28 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 414.39 = 230.28 : x
  2. Step 2: Convert to fraction form
    275.24/414.39 = 230.28/x
  3. Step 3: Cross multiply
    275.24x = 414.39 × 230.28
  4. Step 4: Simplify right side
    275.24x = 95,425.73
  5. Step 5: Solve for x
    x = 95,425.73/275.24
  6. Step 6: Final answer
    x = 346.70

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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.