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Finding the Fourth Proportional to 275.85, 379.89 and 202.05

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Solution

The fourth proportional to 275.85, 379.89 and 202.05 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 379.89 = 202.05 : x
  2. Step 2: Convert to fraction form
    275.85/379.89 = 202.05/x
  3. Step 3: Cross multiply
    275.85x = 379.89 × 202.05
  4. Step 4: Simplify right side
    275.85x = 76,756.77
  5. Step 5: Solve for x
    x = 76,756.77/275.85
  6. Step 6: Final answer
    x = 278.26

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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.