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Finding the Fourth Proportional to 305.24, 418.50 and 299.76

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Solution

The fourth proportional to 305.24, 418.50 and 299.76 is: 410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 418.50 = 299.76 : x
  2. Step 2: Convert to fraction form
    305.24/418.50 = 299.76/x
  3. Step 3: Cross multiply
    305.24x = 418.50 × 299.76
  4. Step 4: Simplify right side
    305.24x = 125,449.56
  5. Step 5: Solve for x
    x = 125,449.56/305.24
  6. Step 6: Final answer
    x = 410.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.