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Finding the Fourth Proportional to 275.90, 381.06 and 188.42

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Solution

The fourth proportional to 275.90, 381.06 and 188.42 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 381.06 = 188.42 : x
  2. Step 2: Convert to fraction form
    275.90/381.06 = 188.42/x
  3. Step 3: Cross multiply
    275.90x = 381.06 × 188.42
  4. Step 4: Simplify right side
    275.90x = 71,797.42
  5. Step 5: Solve for x
    x = 71,797.42/275.90
  6. Step 6: Final answer
    x = 260.23

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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.