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Finding the Fourth Proportional to 309.24, 426.13 and 220.56

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Solution

The fourth proportional to 309.24, 426.13 and 220.56 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.24 : 426.13 = 220.56 : x
  2. Step 2: Convert to fraction form
    309.24/426.13 = 220.56/x
  3. Step 3: Cross multiply
    309.24x = 426.13 × 220.56
  4. Step 4: Simplify right side
    309.24x = 93,987.35
  5. Step 5: Solve for x
    x = 93,987.35/309.24
  6. Step 6: Final answer
    x = 303.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.