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Finding the Fourth Proportional to 275.34, 379.80 and 228.44

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Solution

The fourth proportional to 275.34, 379.80 and 228.44 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 379.80 = 228.44 : x
  2. Step 2: Convert to fraction form
    275.34/379.80 = 228.44/x
  3. Step 3: Cross multiply
    275.34x = 379.80 × 228.44
  4. Step 4: Simplify right side
    275.34x = 86,761.51
  5. Step 5: Solve for x
    x = 86,761.51/275.34
  6. Step 6: Final answer
    x = 315.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.