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Finding the Fourth Proportional to 305.10, 418.28 and 299.63

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Solution

The fourth proportional to 305.10, 418.28 and 299.63 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 418.28 = 299.63 : x
  2. Step 2: Convert to fraction form
    305.10/418.28 = 299.63/x
  3. Step 3: Cross multiply
    305.10x = 418.28 × 299.63
  4. Step 4: Simplify right side
    305.10x = 125,329.24
  5. Step 5: Solve for x
    x = 125,329.24/305.10
  6. Step 6: Final answer
    x = 410.78

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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.