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Finding the Fourth Proportional to 305.24, 423.04 and 299.48

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Solution

The fourth proportional to 305.24, 423.04 and 299.48 is: 415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 423.04 = 299.48 : x
  2. Step 2: Convert to fraction form
    305.24/423.04 = 299.48/x
  3. Step 3: Cross multiply
    305.24x = 423.04 × 299.48
  4. Step 4: Simplify right side
    305.24x = 126,692.02
  5. Step 5: Solve for x
    x = 126,692.02/305.24
  6. Step 6: Final answer
    x = 415.06

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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.