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Finding the Fourth Proportional to 268.86, 405.25 and 245.85

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Solution

The fourth proportional to 268.86, 405.25 and 245.85 is: 370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 405.25 = 245.85 : x
  2. Step 2: Convert to fraction form
    268.86/405.25 = 245.85/x
  3. Step 3: Cross multiply
    268.86x = 405.25 × 245.85
  4. Step 4: Simplify right side
    268.86x = 99,628.58
  5. Step 5: Solve for x
    x = 99,628.58/268.86
  6. Step 6: Final answer
    x = 370.55

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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.