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Finding the Fourth Proportional to 275.86, 380.62 and 187.38

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Solution

The fourth proportional to 275.86, 380.62 and 187.38 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.86 : 380.62 = 187.38 : x
  2. Step 2: Convert to fraction form
    275.86/380.62 = 187.38/x
  3. Step 3: Cross multiply
    275.86x = 380.62 × 187.38
  4. Step 4: Simplify right side
    275.86x = 71,320.58
  5. Step 5: Solve for x
    x = 71,320.58/275.86
  6. Step 6: Final answer
    x = 258.54

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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.