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Finding the Fourth Proportional to 305.99, 421.24 and 268.57

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Solution

The fourth proportional to 305.99, 421.24 and 268.57 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 421.24 = 268.57 : x
  2. Step 2: Convert to fraction form
    305.99/421.24 = 268.57/x
  3. Step 3: Cross multiply
    305.99x = 421.24 × 268.57
  4. Step 4: Simplify right side
    305.99x = 113,128.98
  5. Step 5: Solve for x
    x = 113,128.98/305.99
  6. Step 6: Final answer
    x = 369.72

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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.