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Finding the Fourth Proportional to 305.77, 423.63 and 299.29

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Solution

The fourth proportional to 305.77, 423.63 and 299.29 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.77 : 423.63 = 299.29 : x
  2. Step 2: Convert to fraction form
    305.77/423.63 = 299.29/x
  3. Step 3: Cross multiply
    305.77x = 423.63 × 299.29
  4. Step 4: Simplify right side
    305.77x = 126,788.22
  5. Step 5: Solve for x
    x = 126,788.22/305.77
  6. Step 6: Final answer
    x = 414.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.