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Finding the Fourth Proportional to 265.90, 399.21 and 179.77

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Solution

The fourth proportional to 265.90, 399.21 and 179.77 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 399.21 = 179.77 : x
  2. Step 2: Convert to fraction form
    265.90/399.21 = 179.77/x
  3. Step 3: Cross multiply
    265.90x = 399.21 × 179.77
  4. Step 4: Simplify right side
    265.90x = 71,765.98
  5. Step 5: Solve for x
    x = 71,765.98/265.90
  6. Step 6: Final answer
    x = 269.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.