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Finding the Fourth Proportional to 265.89, 400.25 and 197.85

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Solution

The fourth proportional to 265.89, 400.25 and 197.85 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.89 : 400.25 = 197.85 : x
  2. Step 2: Convert to fraction form
    265.89/400.25 = 197.85/x
  3. Step 3: Cross multiply
    265.89x = 400.25 × 197.85
  4. Step 4: Simplify right side
    265.89x = 79,189.46
  5. Step 5: Solve for x
    x = 79,189.46/265.89
  6. Step 6: Final answer
    x = 297.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.