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Finding the Fourth Proportional to 309.20, 423.94 and 303.76

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Solution

The fourth proportional to 309.20, 423.94 and 303.76 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.20 : 423.94 = 303.76 : x
  2. Step 2: Convert to fraction form
    309.20/423.94 = 303.76/x
  3. Step 3: Cross multiply
    309.20x = 423.94 × 303.76
  4. Step 4: Simplify right side
    309.20x = 128,776.01
  5. Step 5: Solve for x
    x = 128,776.01/309.20
  6. Step 6: Final answer
    x = 416.48

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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.