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Finding the Fourth Proportional to 275.78, 380.58 and 159.32

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Solution

The fourth proportional to 275.78, 380.58 and 159.32 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 380.58 = 159.32 : x
  2. Step 2: Convert to fraction form
    275.78/380.58 = 159.32/x
  3. Step 3: Cross multiply
    275.78x = 380.58 × 159.32
  4. Step 4: Simplify right side
    275.78x = 60,634.01
  5. Step 5: Solve for x
    x = 60,634.01/275.78
  6. Step 6: Final answer
    x = 219.86

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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.