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Finding the Fourth Proportional to 305.16, 418.56 and 299.88

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Solution

The fourth proportional to 305.16, 418.56 and 299.88 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.16 : 418.56 = 299.88 : x
  2. Step 2: Convert to fraction form
    305.16/418.56 = 299.88/x
  3. Step 3: Cross multiply
    305.16x = 418.56 × 299.88
  4. Step 4: Simplify right side
    305.16x = 125,517.77
  5. Step 5: Solve for x
    x = 125,517.77/305.16
  6. Step 6: Final answer
    x = 411.32

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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.